{"id":11732,"date":"2014-02-02T01:11:51","date_gmt":"2014-02-02T01:11:51","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11732"},"modified":"2021-12-26T02:36:00","modified_gmt":"2021-12-26T02:36:00","slug":"verifique-se-left-63-right-e-solucao-da-inequacao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11732","title":{"rendered":"Verifique se $\\left( {6,3} \\right)$ \u00e9 solu\u00e7\u00e3o da inequa\u00e7\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_11732' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11732' class='GTTabs_curr'><a  id=\"11732_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11732' ><a  id=\"11732_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_11732'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Verifique se $\\left( {6,3} \\right)$ \u00e9 solu\u00e7\u00e3o da inequa\u00e7\u00e3o \\[y \\leqslant \\frac{{2x + 3}}{x}\\]<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11732' onClick='GTTabs_show(1,11732)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11732'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Substituindo na inequa\u00e7\u00e3o \\[y \\leqslant \\frac{{2x + 3}}{x}\\] $x$ por $6$ e $y$ por $3$, vem:<\/p>\n<p>\\[3 \\leqslant \\frac{{2 \\times 6 + 3}}{6} \\Leftrightarrow 3 \\leqslant \\frac{{15}}{6} \\Leftrightarrow 3 \\leqslant \\frac{5}{2}\\]<\/p>\n<p>Como a proposi\u00e7\u00e3o obtida \u00e9 falsa, ent\u00e3o $\\left( {6,3} \\right)$ n\u00e3o \u00e9 solu\u00e7\u00e3o da inequa\u00e7\u00e3o dada.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11732' onClick='GTTabs_show(0,11732)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Verifique se $\\left( {6,3} \\right)$ \u00e9 solu\u00e7\u00e3o da inequa\u00e7\u00e3o \\[y \\leqslant \\frac{{2x + 3}}{x}\\] Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14114,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,125],"tags":[422,126,270],"series":[],"class_list":["post-11732","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-funcoes-racionais","tag-11-o-ano","tag-funcao-racional","tag-inequacao"],"views":1446,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat56.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11732","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=11732"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11732\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14114"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11732"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11732"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}