{"id":12951,"date":"2017-11-01T01:37:11","date_gmt":"2017-11-01T01:37:11","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12951"},"modified":"2022-01-08T23:59:34","modified_gmt":"2022-01-08T23:59:34","slug":"resolve-a-inequacao-seguinte-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12951","title":{"rendered":"Resolve a inequa\u00e7\u00e3o seguinte"},"content":{"rendered":"<p><ul id='GTTabs_ul_12951' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12951' class='GTTabs_curr'><a  id=\"12951_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12951' ><a  id=\"12951_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_12951'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Resolve a inequa\u00e7\u00e3o seguinte:<\/p>\n<p>\\[{x &#8211; \\frac{1}{2}\\left( {x &#8211; 6} \\right) \\le 5x + \\frac{{10}}{3}}\\]<\/p>\n<p>Apresenta o conjunto-solu\u00e7\u00e3o na forma de um intervalo de n\u00fameros reais.<br \/>\nApresenta todos os c\u00e1lculos que efetuares.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12951' onClick='GTTabs_show(1,12951)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12951'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>\\[\\begin{array}{*{20}{l}}{\\mathop x\\limits_{\\left( 6 \\right)} &#8211; \\frac{1}{{\\mathop 2\\limits_{\\left( 3 \\right)} }}\\left( {x &#8211; 6} \\right) \\le \\mathop {5x}\\limits_{\\left( 6 \\right)} + \\frac{{10}}{{\\mathop 3\\limits_{\\left( 2 \\right)} }}}&amp; \\Leftrightarrow &amp;{6x &#8211; 3x + 18 \\le 30x + 20}\\\\{}&amp; \\Leftrightarrow &amp;{ &#8211; 27x \\le 2}\\\\{}&amp; \\Leftrightarrow &amp;{x \\ge &#8211; \\frac{2}{{27}}}\\\\{}&amp;{}&amp;{}\\\\{}&amp;{}&amp;{S = \\left[ { &#8211; \\frac{2}{{27}},\\; + \\infty } \\right[}\\end{array}\\]<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12951' onClick='GTTabs_show(0,12951)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Resolve a inequa\u00e7\u00e3o seguinte: \\[{x &#8211; \\frac{1}{2}\\left( {x &#8211; 6} \\right) \\le 5x + \\frac{{10}}{3}}\\] Apresenta o conjunto-solu\u00e7\u00e3o na forma de um intervalo de n\u00fameros reais. Apresenta todos os c\u00e1lculos que&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14113,"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-12951","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":2290,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat55.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12951","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=12951"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12951\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12951"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}