{"id":60157,"date":"2026-05-13T14:57:42","date_gmt":"2026-05-13T13:57:42","guid":{"rendered":"https:\/\/studybuddy.se\/?p=60157"},"modified":"2026-10-16T08:49:54","modified_gmt":"2026-10-16T07:49:54","slug":"olikhetstecken","status":"publish","type":"post","link":"https:\/\/studybuddy.se\/en\/olikhetstecken\/","title":{"rendered":"Olikhetstecken \u2013 alla tecken, regler och exempel"},"content":{"rendered":"<style>.sb-art *{box-sizing:border-box;margin:0;padding:0;font-family:inherit}.sb-art{font-size:17px;line-height:1.8;max-width:780px}.sb-art h2{font-size:1.55rem;font-weight:700;margin:2.8rem 0 1rem}.sb-art h3{font-size:1.1rem;font-weight:700;margin:1.8rem 0 .6rem}.sb-art p{margin-bottom:1rem}.sb-art strong{font-weight:700}.sb-symbol-table{width:100%;border-collapse:collapse;margin:1.2rem 0 1.8rem}.sb-symbol-table th{background:#f3f6fb;padding:10px 14px;text-align:left;font-size:.82rem;font-weight:700;letter-spacing:.05em;text-transform:uppercase;border-bottom:2px solid 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.2rem}.sb-krok-ex{font-size:.85rem;font-family:'Courier New',monospace}.sb-krok-desc{font-size:.8rem;margin-top:.4rem;opacity:.7}.sb-flip-grid{display:grid;grid-template-columns:repeat(3,1fr);gap:12px;margin:1.2rem 0}@media(max-width:560px){.sb-flip-grid{grid-template-columns:1fr}.sb-krok{grid-template-columns:1fr}.sb-q-opts{grid-template-columns:1fr}.sb-symbol-table td:nth-child(2){width:auto}.sb-symbol-table{font-size:.9rem}.sb-symbol-table td{padding:8px 10px}}.sb-flip-card{background:#f8f9fc;border:1px solid #e2e8f0;border-radius:12px;padding:1rem;text-align:center}.sb-flip-before,.sb-flip-after{font-family:'Courier New',monospace;font-size:1.1rem;padding:.3rem 0;font-weight:700}.sb-flip-before{color:#1563c8}.sb-flip-after{color:#c07800}.sb-flip-arrow{font-size:.82rem;opacity:.6;margin:.2rem 0}.sb-flip-note{font-size:.78rem;font-weight:700;color:#1a5c35;margin-top:.4rem}.sb-quiz{margin:1.5rem 0}.sb-q{margin:.9rem 0}.sb-q input[type=radio]{position:absolute;opacity:0;pointer-events:none;width:0;height:0}.sb-q-title{font-weight:700;font-size:1rem;margin-bottom:.7rem;display:block}.sb-q-opts{display:grid;grid-template-columns:1fr 1fr;gap:8px}.sb-q-opt label{display:block;background:#fff;border:1px solid #d0d8e8;border-radius:8px;padding:.55rem 1rem;cursor:pointer;font-size:.95rem;font-family:'Courier New',monospace;text-align:center;transition:background .15s,border-color .15s}.sb-q-opt label:hover{background:#eef4fd;border-color:#1563c8}.sb-q-opt input.correct:checked+label{background:#eaf6ef;border-color:#2d8a50;color:#1a5c35;font-weight:700;cursor:default}.sb-q-opt input.wrong:checked+label{background:#fdecea;border-color:#c0392b;color:#7b1010;font-weight:700;cursor:default}.sb-q-box{background:#f8f9fc;border-radius:12px;border:1px solid #e2e8f0;padding:1.2rem 1.4rem}.sb-fb-ok,.sb-fb-wrong{display:none;font-size:.9rem;font-weight:600;margin-top:.6rem}.sb-fb-ok{color:#1a5c35}.sb-fb-wrong{color:#c0392b}.sb-q input.correct:checked~.sb-fb-ok{display:block}.sb-q input.wrong:checked~.sb-fb-wrong{display:block}.sb-q-box:has(input.correct:checked) .sb-fb-ok{display:block}.sb-q-box:has(input.wrong:checked) .sb-fb-wrong{display:block}.sb-divider{border:none;border-top:1px solid #e8ecf2;margin:2.8rem 0}.sb-ingress{font-size:1.08rem;border-left:4px solid #1563c8;padding-left:1rem;margin-bottom:2rem;line-height:1.7;opacity:.85}<\/style>\n<div class=\"sb-art\">\n<p class=\"sb-ingress\">Olikhetstecken anv\u00e4nds i matematiken f\u00f6r att visa relationen mellan tal och uttryck som inte \u00e4r lika med varandra. I den h\u00e4r artikeln g\u00e5r vi igenom alla tecken, hur du minns vilket h\u00e5ll de pekar, och den viktigaste regeln som m\u00e5nga gl\u00f6mmer \u2013 n\u00e4r tecknet faktiskt byter h\u00e5ll.<\/p>\n<h2>Vad \u00e4r ett olikhetstecken?<\/h2>\n<p>Ett olikhetstecken \u00e4r en matematisk symbol som visar att tv\u00e5 tal eller uttryck <strong>inte \u00e4r lika stora<\/strong>. Det fungerar som ett alternativ till likhetstecknet (=) \u2013 men ist\u00e4llet f\u00f6r att s\u00e4ga att n\u00e5got \u00e4r lika, visar det vem av de tv\u00e5 som \u00e4r st\u00f6rst.<\/p>\n<p>Du st\u00f6ter p\u00e5 olikheter hela tiden i vardagen, \u00e4ven om du inte t\u00e4nker p\u00e5 det:<\/p>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\">Vardagsexempel<\/div>\n<p>Du m\u00e5ste vara <em>minst<\/em> 18 \u00e5r f\u00f6r att k\u00f6ra bil \u2192 <code class=\"sb-math\">\u00e5lder \u2265 18<\/code><\/p>\n<p style=\"margin-top: .6rem;\">En inomhustemperatur b\u00f6r ligga mellan 20 och 23 grader \u2192 <code class=\"sb-math\">20 &lt; temp &lt; 23<\/code><\/p>\n<p style=\"margin-top: .6rem;\">Din m\u00e5nadsbudget f\u00f6r n\u00f6jen \u00e4r <em>h\u00f6gst<\/em> 500 kr \u2192 <code class=\"sb-math\">n\u00f6jen \u2264 500<\/code><\/p>\n<\/div>\n<h2>Alla olikhetstecken \u2013 tabell<\/h2>\n<p>Det finns fem vanliga olikhetstecken. H\u00e4r \u00e4r en \u00f6versikt med uttal och exempel:<\/p>\n<table class=\"sb-symbol-table\">\n<thead>\n<tr>\n<th>Symbol<\/th>\n<th>Uttal<\/th>\n<th>Exempel och f\u00f6rklaring<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>&lt;<\/td>\n<td>Mindre \u00e4n<\/td>\n<td><code class=\"sb-math\">3 &lt; 7<\/code> \u2014 3 \u00e4r mindre \u00e4n 7<\/td>\n<\/tr>\n<tr>\n<td>&gt;<\/td>\n<td>St\u00f6rre \u00e4n<\/td>\n<td><code class=\"sb-math\">9 &gt; 2<\/code> \u2014 9 \u00e4r st\u00f6rre \u00e4n 2<\/td>\n<\/tr>\n<tr>\n<td>\u2264<\/td>\n<td>Mindre \u00e4n eller lika med<\/td>\n<td><code class=\"sb-math\">x \u2264 5<\/code> \u2014 x kan vara 5 eller n\u00e5got mindre<\/td>\n<\/tr>\n<tr>\n<td>\u2265<\/td>\n<td>St\u00f6rre \u00e4n eller lika med<\/td>\n<td><code class=\"sb-math\">y \u2265 0<\/code> \u2014 y kan vara 0 eller n\u00e5got st\u00f6rre<\/td>\n<\/tr>\n<tr>\n<td>\u2260<\/td>\n<td>Skilt fr\u00e5n \/ inte lika med<\/td>\n<td><code class=\"sb-math\">4 \u2260 6<\/code> \u2014 4 \u00e4r inte lika med 6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sb-callout\"><strong>Tips \u2013 hur skriver du tecknen?<\/strong><br \/>\nTecknen <code class=\"sb-math\">&lt;<\/code> och <code class=\"sb-math\">&gt;<\/code> finns direkt p\u00e5 tangentbordet (Shift + , och Shift + .). F\u00f6r \u2264, \u2265 och \u2260 \u2013 s\u00f6k p\u00e5 &#8221;specialtecken&#8221; i Word, eller kopiera dem direkt fr\u00e5n tabellen ovan.<\/div>\n<h2>Hur minns man vilket h\u00e5ll tecknet pekar?<\/h2>\n<p>Det vanligaste tricket \u00e4r <strong>krokodilregeln<\/strong>: tecknet \u00e4r en krokodilmun som alltid \u00e4ter det <em>st\u00f6rre<\/em> talet. Munnen \u00f6ppnas alltid mot det st\u00f6rsta v\u00e4rdet.<\/p>\n<div class=\"sb-krok\">\n<div class=\"sb-krok-card\">\n<div class=\"sb-krok-sym\">&lt;<\/div>\n<div class=\"sb-krok-name\">Mindre \u00e4n<\/div>\n<div class=\"sb-krok-ex\">3 &lt; 7<\/div>\n<p class=\"sb-krok-desc\">Munnen \u00f6ppnar sig mot 7 \u2013 det st\u00f6rre talet<\/p>\n<\/div>\n<div class=\"sb-krok-card\">\n<div class=\"sb-krok-sym\">&gt;<\/div>\n<div class=\"sb-krok-name\">St\u00f6rre \u00e4n<\/div>\n<div class=\"sb-krok-ex\">9 &gt; 2<\/div>\n<p class=\"sb-krok-desc\">Munnen \u00f6ppnar sig mot 9 \u2013 det st\u00f6rre talet<\/p>\n<\/div>\n<\/div>\n<p><strong>Annat trick:<\/strong> Den lilla spetsen pekar alltid mot det <em>minsta<\/em> talet. I <code class=\"sb-math\">3 &lt; 7<\/code> pekar spetsen p\u00e5 3.<\/p>\n<h2>Strikt och icke-strikt olikhet<\/h2>\n<p><strong>Strikt olikhet<\/strong> (med <code class=\"sb-math\">&lt;<\/code> eller <code class=\"sb-math\">&gt;<\/code>) betyder att de tv\u00e5 talen <em>inte kan vara lika<\/em>. Om <code class=\"sb-math\">x &gt; 3<\/code> g\u00e4ller m\u00e5ste x vara exakt st\u00f6rre \u2013 3 sj\u00e4lvt r\u00e4knas inte.<\/p>\n<p><strong>Icke-strikt olikhet<\/strong> (med <code class=\"sb-math\">\u2264<\/code> eller <code class=\"sb-math\">\u2265<\/code>) till\u00e5ter att de b\u00e5da leden \u00e4r lika. Om <code class=\"sb-math\">x \u2265 3<\/code> g\u00e4ller \u00e4r \u00e4ven x = 3 ett godk\u00e4nt svar.<\/p>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\">Konkret skillnad<\/div>\n<p>&#8221;Du m\u00e5ste vara <em>\u00e4ldre \u00e4n<\/em> 15 \u00e5r&#8221; \u2192 <code class=\"sb-math\">\u00e5lder &gt; 15<\/code> (en 15-\u00e5ring f\u00e5r inte vara med)<\/p>\n<p style=\"margin-top: .6rem;\">&#8221;Du m\u00e5ste vara <em>minst<\/em> 15 \u00e5r&#8221; \u2192 <code class=\"sb-math\">\u00e5lder \u2265 15<\/code> (en 15-\u00e5ring f\u00e5r vara med)<\/p>\n<\/div>\n<h2>Olikhetstecken p\u00e5 tallinjen<\/h2>\n<p>En olikhet som <code class=\"sb-math\">x &gt; 2<\/code> har o\u00e4ndligt m\u00e5nga l\u00f6sningar \u2013 alla tal som \u00e4r st\u00f6rre \u00e4n 2. Det brukar vi rita ut p\u00e5 en tallinje. Nyckeln: <strong>fylld ring<\/strong> = gr\u00e4nsv\u00e4rdet ing\u00e5r. <strong>Ofylld ring<\/strong> = gr\u00e4nsv\u00e4rdet ing\u00e5r inte.<\/p>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\">Tallinje-exempel<\/div>\n<div style=\"font-size: .92rem;\">\n<div style=\"margin-bottom: 1.2rem;\">\n<div style=\"font-weight: bold; margin-bottom: 6px;\"><code class=\"sb-math\">x &gt; 2<\/code> \u2014 ofylld ring (2 ing\u00e5r INTE)<\/div>\n<p><svg viewBox=\"0 0 340 40\" style=\"width:100%;max-width:340px;height:40px\" role=\"img\" aria-label=\"Tallinje som visar x st\u00f6rre \u00e4n 2, med ofylld ring vid 2 och pil \u00e5t h\u00f6ger\"><line x1=\"10\" y1=\"20\" x2=\"325\" y2=\"20\" stroke=\"#aaa\" stroke-width=\"1.5\"\/><polygon points=\"320,15 332,20 320,25\" fill=\"#aaa\"\/><text x=\"88\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">0<\/text><text x=\"148\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">1<\/text><text x=\"208\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">2<\/text><text x=\"268\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">3<\/text><line x1=\"214\" y1=\"20\" x2=\"316\" y2=\"20\" stroke=\"#1563c8\" stroke-width=\"3.5\"\/><polygon points=\"312,14 324,20 312,26\" fill=\"#1563c8\"\/><circle cx=\"214\" cy=\"20\" r=\"6\" fill=\"#fff\" stroke=\"#1563c8\" stroke-width=\"2.5\"\/><\/svg>\n<\/div>\n<div>\n<div style=\"font-weight: bold; margin-bottom: 6px;\"><code class=\"sb-math\">x \u2265 2<\/code> \u2014 fylld ring (2 ing\u00e5r)<\/div>\n<p><svg viewBox=\"0 0 340 40\" style=\"width:100%;max-width:340px;height:40px\" role=\"img\" aria-label=\"Tallinje som visar x st\u00f6rre \u00e4n eller lika med 2, med fylld ring vid 2 och pil \u00e5t h\u00f6ger\"><line x1=\"10\" y1=\"20\" x2=\"325\" y2=\"20\" stroke=\"#aaa\" stroke-width=\"1.5\"\/><polygon points=\"320,15 332,20 320,25\" fill=\"#aaa\"\/><text x=\"88\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">0<\/text><text x=\"148\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">1<\/text><text x=\"208\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">2<\/text><text x=\"268\" y=\"36\" font-size=\"11\" fill=\"#777\" font-family=\"sans-serif\">3<\/text><line x1=\"214\" y1=\"20\" x2=\"316\" y2=\"20\" stroke=\"#1563c8\" stroke-width=\"3.5\"\/><polygon points=\"312,14 324,20 312,26\" fill=\"#1563c8\"\/><circle cx=\"214\" cy=\"20\" r=\"6\" fill=\"#1563c8\" stroke=\"#1563c8\" stroke-width=\"2.5\"\/><\/svg>\n<\/div>\n<\/div>\n<\/div>\n<h2>N\u00e4r v\u00e4nder olikhetstecknet h\u00e5ll?<\/h2>\n<p>Det finns en regel som \u00e4r l\u00e4tt att gl\u00f6mma men helt avg\u00f6rande: <strong>n\u00e4r du multiplicerar eller dividerar b\u00e5da sidor av en olikhet med ett negativt tal, m\u00e5ste olikhetstecknet v\u00e4ndas \u00e5t andra h\u00e5llet<\/strong>.<\/p>\n<div class=\"sb-callout-warn\"><strong>Regeln:<\/strong> Multiplicera eller dividera med negativt tal \u2192 tecknet v\u00e4nder. <code class=\"sb-math\">&lt;<\/code> blir <code class=\"sb-math\">&gt;<\/code> och tv\u00e4rtom.<br \/>\nAddition och subtraktion p\u00e5verkar <em>inte<\/em> tecknet.<\/div>\n<p><strong>Varf\u00f6r v\u00e4nder det?<\/strong> Vi vet att <code class=\"sb-math\">5 &gt; 3<\/code> st\u00e4mmer. Multiplicerar vi b\u00e5da sidor med \u22121 f\u00e5r vi \u22125 och \u22123. Men \u22125 \u00e4r ju <em>mindre<\/em> \u00e4n \u22123 p\u00e5 tallinjen \u2013 s\u00e5 f\u00f6r att olikheten ska h\u00e5lla m\u00e5ste tecknet v\u00e4nda: <code class=\"sb-math\">\u22125 &lt; \u22123<\/code> \u2713<\/p>\n<p>Samma m\u00f6nster g\u00e4ller oavsett vilka tal du v\u00e4ljer:<\/p>\n<div class=\"sb-flip-grid\">\n<div class=\"sb-flip-card\">\n<div class=\"sb-flip-before\">5 &gt; 3<\/div>\n<div class=\"sb-flip-arrow\">\u00d7 (\u22121) \u2193<\/div>\n<div class=\"sb-flip-after\">\u22125 &lt; \u22123<\/div>\n<div class=\"sb-flip-note\">Tecknet v\u00e4nde \u2713<\/div>\n<\/div>\n<div class=\"sb-flip-card\">\n<div class=\"sb-flip-before\">2 &lt; 8<\/div>\n<div class=\"sb-flip-arrow\">\u00d7 (\u22121) \u2193<\/div>\n<div class=\"sb-flip-after\">\u22122 &gt; \u22128<\/div>\n<div class=\"sb-flip-note\">Tecknet v\u00e4nde \u2713<\/div>\n<\/div>\n<div class=\"sb-flip-card\">\n<div class=\"sb-flip-before\">10 &gt; 1<\/div>\n<div class=\"sb-flip-arrow\">\u00f7 (\u22122) \u2193<\/div>\n<div class=\"sb-flip-after\">\u22125 &lt; \u22120,5<\/div>\n<div class=\"sb-flip-note\">Tecknet v\u00e4nde \u2713<\/div>\n<\/div>\n<\/div>\n<h2>L\u00f6sa olikheter \u2013 steg f\u00f6r steg<\/h2>\n<p>Du l\u00f6ser en olikhet n\u00e4stan precis som en ekvation. Den enda skillnaden \u00e4r att h\u00e5lla koll p\u00e5 n\u00e4r tecknet v\u00e4nder.<\/p>\n<h3>Exempel 1 \u2013 enkel olikhet<\/h3>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\">L\u00f6s olikheten<\/div>\n<p><code class=\"sb-math-block\">x + 3 &gt; 6<\/code><\/p>\n<ol class=\"sb-steps\">\n<li>Subtrahera 3 fr\u00e5n b\u00e5da sidor: <code class=\"sb-math\">x + 3 \u2212 3 &gt; 6 \u2212 3<\/code><\/li>\n<li>F\u00f6renkla och du f\u00e5r svaret: <code class=\"sb-math\">x &gt; 3<\/code> \u2713<\/li>\n<\/ol>\n<p style=\"font-size: .88rem; margin-top: .5rem; opacity: .75;\">Tecknet v\u00e4nder inte \u2013 vi subtraherade, inte multiplicerade med negativt.<\/p>\n<\/div>\n<h3>Exempel 2 \u2013 med negativt tal (tecknet v\u00e4nder!)<\/h3>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\">L\u00f6s olikheten<\/div>\n<p><code class=\"sb-math-block\">\u22122x + 3 &lt; 7<\/code><\/p>\n<ol class=\"sb-steps\">\n<li>Subtrahera 3 fr\u00e5n b\u00e5da sidor: <code class=\"sb-math\">\u22122x &lt; 4<\/code><\/li>\n<li>Dividera med \u22122 \u2013 <strong>tecknet v\u00e4nder!<\/strong><\/li>\n<li>Svar: <code class=\"sb-math\">x &gt; \u22122<\/code> \u2713<\/li>\n<\/ol>\n<div class=\"sb-callout-warn\" style=\"margin-top: .8rem; margin-bottom: 0;\">Vi dividerade med \u22122 (negativt) \u2192 &lt; byts mot &gt;. Gl\u00f6m inte!<\/div>\n<\/div>\n<h3>Exempel 3 \u2013 dubbel olikhet<\/h3>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\">L\u00f6s olikheten<\/div>\n<p><code class=\"sb-math-block\">3 &lt; x + 2 &lt; 10<\/code><\/p>\n<ol class=\"sb-steps\">\n<li>Betrakta som tv\u00e5 olikheter: <code class=\"sb-math\">3 &lt; x + 2<\/code> och <code class=\"sb-math\">x + 2 &lt; 10<\/code><\/li>\n<li>V\u00e4nstra: subtrahera 2 \u2192 <code class=\"sb-math\">1 &lt; x<\/code><\/li>\n<li>H\u00f6gra: subtrahera 2 \u2192 <code class=\"sb-math\">x &lt; 8<\/code><\/li>\n<li>Sl\u00e5 ihop: <code class=\"sb-math\">1 &lt; x &lt; 8<\/code> \u2713<\/li>\n<\/ol>\n<\/div>\n<h2>Vanliga misstag med olikhetstecken<\/h2>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\" style=\"color: #c0392b;\">Felaktigt \u2013 vanligaste misstaget<\/div>\n<p><code class=\"sb-math\">\u22123x &lt; 9<\/code> \u2192 skriver x &lt; \u22123 \u2717<\/p>\n<p style=\"font-size: .9rem; margin-top: .4rem; opacity: .75;\">Man dividerade med \u22123 men gl\u00f6mde v\u00e4nda tecknet.<\/p>\n<\/div>\n<div class=\"sb-example\">\n<div class=\"sb-example-label\" style=\"color: #1a5c35;\">Korrekt<\/div>\n<p><code class=\"sb-math\">\u22123x &lt; 9<\/code> \u2192 x &gt; \u22123 \u2713<\/p>\n<p style=\"font-size: .9rem; margin-top: .4rem; opacity: .75;\">Division med \u22123 (negativt) \u2192 tecknet v\u00e4nder fr\u00e5n &lt; till &gt;.<\/p>\n<\/div>\n<div class=\"sb-callout\"><strong>Sammanfattning av regeln:<\/strong><br \/>\n\u2713 Addition och subtraktion \u2192 tecknet <strong>\u00e4ndras inte<\/strong><br \/>\n\u2713 Multiplikation\/division med <strong>positivt<\/strong> tal \u2192 tecknet <strong>\u00e4ndras inte<\/strong><br \/>\n\u2717 Multiplikation\/division med <strong>negativt<\/strong> tal \u2192 tecknet <strong>v\u00e4nder alltid<\/strong><\/div>\n<\/div>\n<div><\/div>\n<div>G\u00f6r du ofta de h\u00e4r misstagen? F\u00e5 <a href=\"https:\/\/studybuddy.se\/amnen\/mattehjalp\/\">hj\u00e4lp med matten<\/a> och tr\u00e4na p\u00e5 just det som \u00e4r sv\u00e5rt.<\/div>\n<div class=\"sb-art\">\n<hr class=\"sb-divider\" \/>\n<h2>Testa dig sj\u00e4lv \u2013 \u00f6vningsuppgifter<\/h2>\n<p style=\"font-size: .95rem;\">Klicka p\u00e5 ett svarsalternativ. R\u00e4tt svar lyser gr\u00f6nt, fel svar r\u00f6tt.<\/p>\n<div class=\"sb-quiz\">\n<div class=\"sb-q\">\n<div class=\"sb-q-box\"><span class=\"sb-q-title\">1. Vilket tecken passar?   5 ___ 8<\/span><\/p>\n<div class=\"sb-q-opts\">\n<div class=\"sb-q-opt\"><input id=\"q1a\" class=\"correct\" name=\"q1\" type=\"radio\" \/><label for=\"q1a\">&lt;<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q1b\" class=\"wrong\" name=\"q1\" type=\"radio\" \/><label for=\"q1b\">&gt;<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q1c\" class=\"wrong\" name=\"q1\" type=\"radio\" \/><label for=\"q1c\">\u2265<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q1d\" class=\"wrong\" name=\"q1\" type=\"radio\" \/><label for=\"q1d\">\u2260<\/label><\/div>\n<\/div>\n<p class=\"sb-fb-ok\">\u2713 R\u00e4tt! 5 \u00e4r mindre \u00e4n 8, s\u00e5 vi skriver 5 &lt; 8.<\/p>\n<p class=\"sb-fb-wrong\">\u2717 Fel. 5 \u00e4r mindre \u00e4n 8 \u2013 tecknet ska peka mot det minsta talet, allts\u00e5 &lt;.<\/p>\n<\/div>\n<\/div>\n<div class=\"sb-q\">\n<div class=\"sb-q-box\"><span class=\"sb-q-title\">2. L\u00f6s olikheten:   x + 4 &gt; 10<\/span><\/p>\n<div class=\"sb-q-opts\">\n<div class=\"sb-q-opt\"><input id=\"q2a\" class=\"correct\" name=\"q2\" type=\"radio\" \/><label for=\"q2a\">x &gt; 6<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q2b\" class=\"wrong\" name=\"q2\" type=\"radio\" \/><label for=\"q2b\">x &gt; 14<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q2c\" class=\"wrong\" name=\"q2\" type=\"radio\" \/><label for=\"q2c\">x &lt; 6<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q2d\" class=\"wrong\" name=\"q2\" type=\"radio\" \/><label for=\"q2d\">x &lt; 14<\/label><\/div>\n<\/div>\n<p class=\"sb-fb-ok\">\u2713 R\u00e4tt! Subtrahera 4 fr\u00e5n b\u00e5da sidor: x &gt; 10 \u2212 4 = 6.<\/p>\n<p class=\"sb-fb-wrong\">\u2717 Fel. Subtrahera 4 fr\u00e5n b\u00e5da sidor: x &gt; 10 \u2212 4, allts\u00e5 x &gt; 6.<\/p>\n<\/div>\n<\/div>\n<div class=\"sb-q\">\n<div class=\"sb-q-box\"><span class=\"sb-q-title\">3. L\u00f6s olikheten:   \u22123x &lt; 12<\/span><\/p>\n<div class=\"sb-q-opts\">\n<div class=\"sb-q-opt\"><input id=\"q3a\" class=\"wrong\" name=\"q3\" type=\"radio\" \/><label for=\"q3a\">x &lt; \u22124<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q3b\" class=\"correct\" name=\"q3\" type=\"radio\" \/><label for=\"q3b\">x &gt; \u22124<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q3c\" class=\"wrong\" name=\"q3\" type=\"radio\" \/><label for=\"q3c\">x &lt; 4<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q3d\" class=\"wrong\" name=\"q3\" type=\"radio\" \/><label for=\"q3d\">x &gt; 4<\/label><\/div>\n<\/div>\n<p class=\"sb-fb-ok\">\u2713 R\u00e4tt! Division med \u22123 (negativt) \u2192 tecknet v\u00e4nder: x &gt; \u22124.<\/p>\n<p class=\"sb-fb-wrong\">\u2717 Fel. Vi dividerar med \u22123 \u2013 ett negativt tal \u2013 s\u00e5 tecknet m\u00e5ste v\u00e4nda: x &gt; \u22124.<\/p>\n<\/div>\n<\/div>\n<div class=\"sb-q\">\n<div class=\"sb-q-box\"><span class=\"sb-q-title\">4. Vad st\u00e4mmer om   x \u2265 5?<\/span><\/p>\n<div class=\"sb-q-opts\">\n<div class=\"sb-q-opt\"><input id=\"q4a\" class=\"correct\" name=\"q4\" type=\"radio\" \/><label for=\"q4a\">x kan vara 5<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q4b\" class=\"wrong\" name=\"q4\" type=\"radio\" \/><label for=\"q4b\">x m\u00e5ste vara &gt; 5<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q4c\" class=\"wrong\" name=\"q4\" type=\"radio\" \/><label for=\"q4c\">x kan inte vara 5<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q4d\" class=\"wrong\" name=\"q4\" type=\"radio\" \/><label for=\"q4d\">x \u00e4r alltid positiv<\/label><\/div>\n<\/div>\n<p class=\"sb-fb-ok\">\u2713 R\u00e4tt! Tecknet \u2265 betyder &#8221;st\u00f6rre \u00e4n eller lika med&#8221;, s\u00e5 x = 5 \u00e4r till\u00e5tet.<\/p>\n<p class=\"sb-fb-wrong\">\u2717 Fel. Tecknet \u2265 till\u00e5ter att de \u00e4r lika \u2013 x kan allts\u00e5 vara exakt 5.<\/p>\n<\/div>\n<\/div>\n<div class=\"sb-q\">\n<div class=\"sb-q-box\"><span class=\"sb-q-title\">5. L\u00f6s olikheten:   2 &lt; x \u2212 1 &lt; 7<\/span><\/p>\n<div class=\"sb-q-opts\">\n<div class=\"sb-q-opt\"><input id=\"q5a\" class=\"wrong\" name=\"q5\" type=\"radio\" \/><label for=\"q5a\">1 &lt; x &lt; 6<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q5b\" class=\"correct\" name=\"q5\" type=\"radio\" \/><label for=\"q5b\">3 &lt; x &lt; 8<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q5c\" class=\"wrong\" name=\"q5\" type=\"radio\" \/><label for=\"q5c\">2 &lt; x &lt; 7<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q5d\" class=\"wrong\" name=\"q5\" type=\"radio\" \/><label for=\"q5d\">1 &lt; x &lt; 7<\/label><\/div>\n<\/div>\n<p class=\"sb-fb-ok\">\u2713 R\u00e4tt! Addera 1 till alla tre led: 2+1 &lt; x &lt; 7+1, allts\u00e5 3 &lt; x &lt; 8.<\/p>\n<p class=\"sb-fb-wrong\">\u2717 Fel. Addera 1 till alla led: 2+1 &lt; x\u22121+1 &lt; 7+1 \u2192 3 &lt; x &lt; 8.<\/p>\n<\/div>\n<\/div>\n<div class=\"sb-q\">\n<div class=\"sb-q-box\"><span class=\"sb-q-title\">6. Vad h\u00e4nder med olikhetstecknet n\u00e4r du dividerar b\u00e5da sidor med ett negativt tal?<\/span><\/p>\n<div class=\"sb-q-opts\">\n<div class=\"sb-q-opt\"><input id=\"q6a\" class=\"correct\" name=\"q6\" type=\"radio\" \/><label for=\"q6a\">Det v\u00e4nder h\u00e5ll<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q6b\" class=\"wrong\" name=\"q6\" type=\"radio\" \/><label for=\"q6b\">Det f\u00f6rblir of\u00f6r\u00e4ndrat<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q6c\" class=\"wrong\" name=\"q6\" type=\"radio\" \/><label for=\"q6c\">Det tas bort<\/label><\/div>\n<div class=\"sb-q-opt\"><input id=\"q6d\" class=\"wrong\" name=\"q6\" type=\"radio\" \/><label for=\"q6d\">Det byts mot =<\/label><\/div>\n<\/div>\n<p class=\"sb-fb-ok\">\u2713 R\u00e4tt! Alltid v\u00e4nda tecknet vid multiplikation eller division med negativt tal.<\/p>\n<p class=\"sb-fb-wrong\">\u2717 Fel. Det \u00e4r just det som \u00e4r den viktigaste regeln \u2013 tecknet v\u00e4nder alltid vid negativt tal.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><!-- \/sb-art --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Olikhetstecken anv\u00e4nds i matematiken f\u00f6r att visa relationen mellan tal och uttryck som inte \u00e4r lika med varandra. I den h\u00e4r artikeln g\u00e5r vi igenom alla tecken, hur du minns vilket h\u00e5ll de pekar, och den viktigaste regeln som m\u00e5nga gl\u00f6mmer \u2013 n\u00e4r tecknet faktiskt byter h\u00e5ll. Vad \u00e4r ett olikhetstecken? Ett olikhetstecken \u00e4r en [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":60161,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2006],"tags":[3089,3087,3088],"class_list":["post-60157","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-guide-studiehjalp","tag-mindre-an","tag-olikhetstecken","tag-storre-an"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.3 (Yoast SEO v28.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Olikhetstecken - vad det \u00e4r, alla tecken och n\u00e4r tecknet v\u00e4nder<\/title>\n<meta name=\"description\" content=\"L\u00e4r dig alla olikhetstecken, fr\u00e5n mindre \u00e4n och st\u00f6rre \u00e4n till n\u00e4r tecknet v\u00e4nder. 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