{"id":12882,"date":"2017-10-30T03:12:03","date_gmt":"2017-10-30T03:12:03","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12882"},"modified":"2022-01-08T23:02:49","modified_gmt":"2022-01-08T23:02:49","slug":"quais-os-numeros-inteiros-que-satisfazem-a-seguinte-conjuncao-de-condicoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12882","title":{"rendered":"Quais os n\u00fameros inteiros que satisfazem a seguinte conjun\u00e7\u00e3o de condi\u00e7\u00f5es?"},"content":{"rendered":"<p><ul id='GTTabs_ul_12882' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12882' class='GTTabs_curr'><a  id=\"12882_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12882' ><a  id=\"12882_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_12882'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Quais os n\u00fameros inteiros que satisfazem a seguinte conjun\u00e7\u00e3o de condi\u00e7\u00f5es?<\/p>\n<p>\\[{ &#8211; 3 \\le 3x \\le 1 + x}\\]<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12882' onClick='GTTabs_show(1,12882)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12882'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Resolvendo a conjun\u00e7\u00e3o de inequa\u00e7\u00f5es, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{ &#8211; 3 \\le 3x \\le 1 + x}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{ &#8211; 3 \\le 3x}&amp; \\wedge &amp;{3x \\le 1 + x}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x \\ge &#8211; 1}&amp; \\wedge &amp;{x \\le \\frac{1}{2}}\\end{array}}\\\\{}&amp;{}&amp;{}\\\\{}&amp;{}&amp;{S = \\left[ { &#8211; 1,\\;\\frac{1}{2}} \\right]}\\end{array}\\]<\/p>\n<p>Os n\u00fameros inteiros que satisfazem a conjun\u00e7\u00e3o de condi\u00e7\u00f5es dada s\u00e3o \\({ &#8211; 1}\\) e \\(0\\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12882' onClick='GTTabs_show(0,12882)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Quais os n\u00fameros inteiros que satisfazem a seguinte conjun\u00e7\u00e3o de condi\u00e7\u00f5es? \\[{ &#8211; 3 \\le 3x \\le 1 + x}\\] Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14066,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[213,97,258],"tags":[446,445],"series":[],"class_list":["post-12882","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-conjuncao-de-inequacoes","tag-intervalo-de-numeros-reais"],"views":1878,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat11.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12882","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=12882"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12882\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12882"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12882"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12882"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12882"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}