{"id":12862,"date":"2017-10-29T19:18:29","date_gmt":"2017-10-29T19:18:29","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12862"},"modified":"2022-01-08T22:50:41","modified_gmt":"2022-01-08T22:50:41","slug":"qual-e-o-menor-numero-inteiro-cujo-quintuplo-adicionado-com-2-e-maior-do-que-20","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12862","title":{"rendered":"Qual \u00e9 o menor n\u00famero inteiro cujo qu\u00edntuplo adicionado com 2 \u00e9 maior do que 20?"},"content":{"rendered":"<p><ul id='GTTabs_ul_12862' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12862' class='GTTabs_curr'><a  id=\"12862_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12862' ><a  id=\"12862_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_12862'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual \u00e9 o menor n\u00famero inteiro cujo qu\u00edntuplo adicionado com 2 \u00e9 maior do que 20?<br \/>\nExplica a tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12862' onClick='GTTabs_show(1,12862)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12862'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Qual \u00e9 o menor n\u00famero inteiro cujo qu\u00edntuplo adicionado com 2 \u00e9 maior do que 20?<br \/>\nExplica a tua resposta.<\/p>\n<\/blockquote>\n<p>Admitamos, provisoriamente, que n\u00famero em causa pode ser um n\u00famero real.<br \/>\nComecemos, ent\u00e3o, por determinar os n\u00fameros reais\u00a0cujo qu\u00edntuplo adicionado com 2 \u00e9 maior do que 20:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{5x + 2 &gt; 20}&amp; \\Leftrightarrow &amp;{5x &gt; 18}\\\\{}&amp; \\Leftrightarrow &amp;{x &gt; \\frac{{18}}{5}}\\\\{}&amp; \\Leftrightarrow &amp;{x &gt; 3,6}\\end{array}\\]<\/p>\n<p>Logo, o menor\u00a0n\u00famero inteiro cujo qu\u00edntuplo adicionado com 2 \u00e9 maior do que 20 \u00e9 4, pois \u00e9 o menor n\u00famero inteiro pertencente ao intervalo\u00a0\\({\\left] {\\frac{{18}}{5},\\; + \\infty } \\right[}\\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12862' onClick='GTTabs_show(0,12862)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual \u00e9 o menor n\u00famero inteiro cujo qu\u00edntuplo adicionado com 2 \u00e9 maior do que 20? Explica a tua resposta. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14085,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[270,224],"series":[],"class_list":["post-12862","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-inequacao","tag-problema"],"views":1459,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat30.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12862","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=12862"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12862\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14085"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12862"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}