{"id":12867,"date":"2017-10-29T19:47:18","date_gmt":"2017-10-29T19:47:18","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12867"},"modified":"2022-01-08T22:54:47","modified_gmt":"2022-01-08T22:54:47","slug":"calcula-o-maior-numero-inteiro-que-nao-verifica-a-inequacao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12867","title":{"rendered":"Calcula o maior n\u00famero inteiro que n\u00e3o verifica a inequa\u00e7\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_12867' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12867' class='GTTabs_curr'><a  id=\"12867_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12867' ><a  id=\"12867_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_12867'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o maior n\u00famero inteiro que n\u00e3o verifica a inequa\u00e7\u00e3o seguinte.<\/p>\n<p>\\[{\\frac{{2\\left( {x + 1} \\right)}}{9} &gt; \\frac{1}{3} &#8211; \\frac{{2x &#8211; 1}}{6}}\\]<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12867' onClick='GTTabs_show(1,12867)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12867'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Come\u00e7ando por resolver a inequa\u00e7\u00e3o, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{\\frac{{2\\left( {x + 1} \\right)}}{{\\mathop 9\\limits_{\\left( 2 \\right)} }} &gt; \\mathop {\\frac{1}{3}}\\limits_{\\left( 6 \\right)} &#8211; \\frac{{2x &#8211; 1}}{{\\mathop 6\\limits_{\\left( 3 \\right)} }} &lt; }&amp; \\Leftrightarrow &amp;{4\\left( {x + 1} \\right) &gt; 6 &#8211; 6x + 3}\\\\{}&amp; \\Leftrightarrow &amp;{4x + 4 &gt; 6 &#8211; 6x + 3}\\\\{}&amp; \\Leftrightarrow &amp;{10x &gt; 5}\\\\{}&amp; \\Leftrightarrow &amp;{x &gt; \\frac{1}{2}}\\\\{}&amp;{}&amp;{}\\\\{}&amp;{}&amp;{S = \\left] {\\frac{1}{2},\\; + \\infty } \\right[}\\end{array}\\]<\/p>\n<p>Portanto,\u00a0o maior n\u00famero inteiro que n\u00e3o verifica a inequa\u00e7\u00e3o \u00e9 0 (zero).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12867' onClick='GTTabs_show(0,12867)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o maior n\u00famero inteiro que n\u00e3o verifica a inequa\u00e7\u00e3o seguinte. \\[{\\frac{{2\\left( {x + 1} \\right)}}{9} &gt; \\frac{1}{3} &#8211; \\frac{{2x &#8211; 1}}{6}}\\] Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14077,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[270,445],"series":[],"class_list":["post-12867","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-inequacao","tag-intervalo-de-numeros-reais"],"views":2198,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat22.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12867","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=12867"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12867\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14077"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12867"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12867"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12867"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12867"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}