{"id":12904,"date":"2017-10-30T23:50:18","date_gmt":"2017-10-30T23:50:18","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12904"},"modified":"2022-01-08T23:12:11","modified_gmt":"2022-01-08T23:12:11","slug":"enquadra-os-seguintes-numeros","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12904","title":{"rendered":"Enquadra os seguintes n\u00fameros"},"content":{"rendered":"<p><ul id='GTTabs_ul_12904' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12904' class='GTTabs_curr'><a  id=\"12904_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12904' ><a  id=\"12904_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_12904'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Sabendo que um n\u00famero\u00a0\\(x\\) verifica a condi\u00e7\u00e3o \\(\\frac{2}{3} &lt; x &lt; \\frac{3}{4}\\), enquadra os seguintes n\u00fameros:<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\\(x &#8211; 1\\)<\/li>\n<li>\\(x + 2\\)<\/li>\n<li>\\(3x\\)<\/li>\n<li>\\( &#8211; 4x\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12904' onClick='GTTabs_show(1,12904)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12904'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Ora,<br \/>\n\\[\\begin{array}{*{20}{l}}{\\frac{2}{3} &lt; x &lt; \\frac{3}{4}}&amp; \\Leftrightarrow &amp;{\\frac{2}{3} &#8211; 1 &lt; x &#8211; 1 &lt; \\frac{3}{4} &#8211; 1}\\\\{}&amp; \\Leftrightarrow &amp;{ &#8211; \\frac{1}{3} &lt; x &#8211; 1 &lt; &#8211; \\frac{1}{4}}\\end{array}\\]<\/li>\n<li>Ora,<br \/>\n\\[\\begin{array}{*{20}{l}}{\\frac{2}{3} &lt; x &lt; \\frac{3}{4}}&amp; \\Leftrightarrow &amp;{\\frac{2}{3} + 2 &lt; x + 2 &lt; \\frac{3}{4} + 2}\\\\{}&amp; \\Leftrightarrow &amp;{\\frac{8}{3} &lt; x + 2 &lt; \\frac{{11}}{4}}\\end{array}\\]<\/li>\n<li>Ora,<br \/>\n\\[\\begin{array}{*{20}{l}}{\\frac{2}{3} &lt; x &lt; \\frac{3}{4}}&amp; \\Leftrightarrow &amp;{3 \\times \\frac{2}{3} &lt; 3 \\times x &lt; 3 \\times \\frac{3}{4}}\\\\{}&amp; \\Leftrightarrow &amp;{2 &lt; 3x &lt; \\frac{9}{4}}\\end{array}\\]<\/li>\n<li>Ora,<br \/>\n\\[\\begin{array}{*{20}{l}}{\\frac{2}{3} &lt; x &lt; \\frac{3}{4}}&amp; \\Leftrightarrow &amp;{ &#8211; 4 \\times \\frac{2}{3} &gt; &#8211; 4 \\times x &gt; &#8211; 4 \\times \\frac{3}{4}}\\\\{}&amp; \\Leftrightarrow &amp;{ &#8211; \\frac{8}{3} &gt; &#8211; 4x &gt; &#8211; 3}\\\\{}&amp; \\Leftrightarrow &amp;{ &#8211; 3 &lt; &#8211; 4x &lt; &#8211; \\frac{8}{3}}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12904' onClick='GTTabs_show(0,12904)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Sabendo que um n\u00famero\u00a0\\(x\\) verifica a condi\u00e7\u00e3o \\(\\frac{2}{3} &lt; x &lt; \\frac{3}{4}\\), enquadra os seguintes n\u00fameros: \\(x &#8211; 1\\) \\(x + 2\\) \\(3x\\) \\( &#8211; 4x\\) Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":12905,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[443],"series":[],"class_list":["post-12904","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-enquadramento"],"views":2431,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Enquadramento5.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12904","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12904"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12904\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/12905"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12904"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}