{"id":11721,"date":"2014-01-29T16:57:52","date_gmt":"2014-01-29T16:57:52","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11721"},"modified":"2022-01-12T00:37:30","modified_gmt":"2022-01-12T00:37:30","slug":"resolva-as-inequacoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11721","title":{"rendered":"Resolva as inequa\u00e7\u00f5es"},"content":{"rendered":"<p><ul id='GTTabs_ul_11721' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11721' class='GTTabs_curr'><a  id=\"11721_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11721' ><a  id=\"11721_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_11721'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Resolva, em $\\mathbb{R}$, as equa\u00e7\u00f5es:<\/p>\n<ol>\n<li>$5 + \\frac{1}{x} &gt; \\frac{{16}}{x}$<\/li>\n<li>$1 + \\frac{5}{{x &#8211; 1}} \\leqslant \\frac{7}{6}$<\/li>\n<li>$\\frac{{{x^2} &#8211; 16}}{{{x^2} &#8211; 4x + 5}} \\geqslant 0$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11721' onClick='GTTabs_show(1,11721)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11721'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Tem-se sucessivamente:<br \/>\n\\[\\begin{array}{*{20}{l}}<br \/>\n{5 + \\frac{1}{x} &gt; \\frac{{16}}{x}}&amp; \\Leftrightarrow &amp;{\\frac{{5x + 1 &#8211; 16}}{x} &gt; 0} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\frac{{5x &#8211; 15}}{x} &gt; 0} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{5x &#8211; 15 &lt; 0} \\\\<br \/>\n{x &lt; 0}<br \/>\n\\end{array}} \\right.}&amp; \\vee &amp;{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{5x &#8211; 15 &gt; 0} \\\\<br \/>\n{x &gt; 0}<br \/>\n\\end{array}} \\right.}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{x &lt; 3} \\\\<br \/>\n{x &lt; 0}<br \/>\n\\end{array}} \\right.}&amp; \\vee &amp;{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{x &gt; 3} \\\\<br \/>\n{x &gt; 0}<br \/>\n\\end{array}} \\right.}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{x &lt; 0}&amp; \\vee &amp;{x &gt; 3}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{x \\in \\left] { &#8211; \\infty ,0} \\right[ \\cup \\left] {3, + \\infty } \\right[}<br \/>\n\\end{array}\\]<\/p>\n<p>Em alternativa, podemos usar um quadro de sinal (a partir da express\u00e3o obtida na 2.\u00aa equival\u00eancia acima):<\/p>\n<\/p>\n<table class=\" aligncenter\" style=\"width: 80%;\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$x$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: left;\" valign=\"middle\">${ &#8211; \\infty }$<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\"><\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$3$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: right;\" valign=\"middle\">${ + \\infty }$<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${5x &#8211; 15}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$x$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${\\frac{{5x &#8211; 15}}{x}}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">n.d.<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Portanto, $\\begin{array}{*{20}{l}}<br \/>\n{5 + \\frac{1}{x} &gt; \\frac{{16}}{x}}&amp; \\Leftrightarrow &amp;{x \\in \\left] { &#8211; \\infty ,0} \\right[ \\cup \\left] {3, + \\infty } \\right[}<br \/>\n\\end{array}$.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>Tem-se sucessivamente:<br \/>\n\\[\\begin{array}{*{20}{l}}<br \/>\n{1 + \\frac{5}{{x &#8211; 1}} \\leqslant \\frac{7}{6}}&amp; \\Leftrightarrow &amp;{\\frac{{6\\left( {x &#8211; 1} \\right) + 6 \\times 5 &#8211; 7 \\times \\left( {x &#8211; 1} \\right)}}{{6\\left( {x &#8211; 1} \\right)}} \\leqslant 0} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\frac{{6x &#8211; 6 + 30 &#8211; 7x + 7}}{{6\\left( {x &#8211; 1} \\right)}} \\leqslant 0} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\frac{{31 &#8211; x}}{{6\\left( {x &#8211; 1} \\right)}} \\leqslant 0} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{31 &#8211; x \\leqslant 0} \\\\<br \/>\n{6\\left( {x &#8211; 1} \\right) &gt; 0}<br \/>\n\\end{array}} \\right.}&amp; \\vee &amp;{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{31 &#8211; x \\geqslant 0} \\\\<br \/>\n{6\\left( {x &#8211; 1} \\right) &lt; 0}<br \/>\n\\end{array}} \\right.}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{x \\geqslant 31} \\\\<br \/>\n{x &gt; 1}<br \/>\n\\end{array}} \\right.}&amp; \\vee &amp;{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{x \\leqslant 31} \\\\<br \/>\n{x &lt; 1}<br \/>\n\\end{array}} \\right.}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{x \\geqslant 31}&amp; \\vee &amp;{x &lt; 1}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{x \\in \\left] { &#8211; \\infty ,1} \\right[ \\cup \\left[ {31, + \\infty } \\right]}<br \/>\n\\end{array}\\]<\/p>\n<p>Em alternativa, podemos usar um quadro de sinal (a partir da express\u00e3o obtida na 3.\u00aa equival\u00eancia acima):<\/p>\n<\/p>\n<table class=\" aligncenter\" style=\"width: 80%;\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$x$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: left;\" valign=\"middle\">${ &#8211; \\infty }$<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$1$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\"><\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$31$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: right;\" valign=\"middle\">${ + \\infty }$<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${31 &#8211; x}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$\u00a0&#8211; $<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${6\\left( {x &#8211; 1} \\right)}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${\\frac{{31 &#8211; x}}{{6\\left( {x &#8211; 1} \\right)}}}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">n.d.<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$ &#8211; $<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Portanto, $\\begin{array}{*{20}{l}}<br \/>\n{1 + \\frac{5}{{x &#8211; 1}} \\leqslant \\frac{7}{6}}&amp; \\Leftrightarrow &amp;{x \\in \\left] { &#8211; \\infty ,1} \\right[ \\cup \\left[ {31, + \\infty } \\right]}<br \/>\n\\end{array}$.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>Tem-se sucessivamente:<br \/>\n\\[\\begin{array}{*{20}{l}}<br \/>\n{\\frac{{{x^2} &#8211; 16}}{{{x^2} &#8211; 4x + 5}} \\geqslant 0}&amp; \\Leftrightarrow &amp;{\\frac{{\\left( {x + 4} \\right)\\left( {x &#8211; 4} \\right)}}{{{x^2} &#8211; 4x + 5}} \\geqslant 0} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{\\left( {x + 4} \\right)\\left( {x &#8211; 4} \\right) \\geqslant 0} \\\\<br \/>\n{{x^2} &#8211; 4x + 5 &gt; 0}<br \/>\n\\end{array}} \\right.}&amp; \\vee &amp;{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{\\left( {x + 4} \\right)\\left( {x &#8211; 4} \\right) \\leqslant 0} \\\\<br \/>\n{{x^2} &#8211; 4x + 5 &lt; 0}<br \/>\n\\end{array}} \\right.}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}<br \/>\n{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{x \\in \\left] { &#8211; \\infty , &#8211; 4} \\right] \\cup \\left[ {4, + \\infty } \\right[} \\\\<br \/>\n{x \\in \\mathbb{R}}<br \/>\n\\end{array}} \\right.}&amp; \\vee &amp;{\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{x \\in \\left[ { &#8211; 4,4} \\right]} \\\\<br \/>\n{x \\in \\emptyset }<br \/>\n\\end{array}} \\right.}<br \/>\n\\end{array}} \\\\<br \/>\n{}&amp; \\Leftrightarrow &amp;{x \\in \\left] { &#8211; \\infty , &#8211; 4} \\right] \\cup \\left[ {4, + \\infty } \\right[}<br \/>\n\\end{array}\\]<\/p>\n<p>\u00a0 Em alternativa, podemos usar um quadro de sinal:<\/p>\n<\/p>\n<table class=\" aligncenter\" style=\"width: 80%;\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$x$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: left;\" valign=\"middle\">${ &#8211; \\infty }$<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">${ &#8211; 4}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\"><\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$4$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: right;\" valign=\"middle\">${ + \\infty }$<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${{x^2} &#8211; 16}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">${{x^2} &#8211; 4x + 5}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$\\frac{{{x^2} &#8211; 16}}{{{x^2} &#8211; 4x + 5}}$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$ + $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center;\" valign=\"middle\">$ &#8211; $<\/td>\n<td style=\"border: 1px solid #000000; width: 20px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$0$<\/td>\n<td style=\"border: 1px solid #000000; width: 80px; text-align: center; background-color: #adff2f;\" valign=\"middle\">$ + $<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Portanto, $\\begin{array}{*{20}{l}}<br \/>\n{\\frac{{{x^2} &#8211; 16}}{{{x^2} &#8211; 4x + 5}} \\geqslant 0}&amp; \\Leftrightarrow &amp;{x \\in \\left] { &#8211; \\infty , &#8211; 4} \\right] \\cup \\left[ {4, + \\infty } \\right[}<br \/>\n\\end{array}$.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11721' onClick='GTTabs_show(0,11721)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Resolva, em $\\mathbb{R}$, as equa\u00e7\u00f5es: $5 + \\frac{1}{x} &gt; \\frac{{16}}{x}$ $1 + \\frac{5}{{x &#8211; 1}} \\leqslant \\frac{7}{6}$ $\\frac{{{x^2} &#8211; 16}}{{{x^2} &#8211; 4x + 5}} \\geqslant 0$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19413,"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-11721","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":2361,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/01\/Inequacao_11.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11721","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=11721"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11721\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19413"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11721"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11721"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}