{"id":18001,"date":"2020-09-18T10:20:53","date_gmt":"2020-09-18T13:20:53","guid":{"rendered":"https:\/\/beduka.com\/blog\/?p=18001"},"modified":"2023-07-18T15:19:06","modified_gmt":"2023-07-18T18:19:06","slug":"inequacoes-2-grau","status":"publish","type":"post","link":"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/inequacoes-2-grau\/","title":{"rendered":"Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau com Gabarito"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote\">\n<p><strong><em>S\u00e3o denominas de Inequa\u00e7\u00f5es do 2\u00b0 grau as rela\u00e7\u00f5es de desigualdade que s\u00e3o compostas por express\u00f5es matem\u00e1ticas de grau 2. Este post vai te ensinar de maneira simples como dominar as opera\u00e7\u00f5es com inequa\u00e7\u00f5es. Leia nosso resumo e fa\u00e7a nossa lista de Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau.<\/em><\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>Quando voc\u00ea terminar os <strong>Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau<\/strong>, fa\u00e7a nosso <a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/simulado-enem\/#\/\" target=\"_blank\">Simulado Enem<\/a>. Coloque em pr\u00e1tica todo o seu estudo, escolhendo as mat\u00e9rias que deseja treinar.<\/p>\n\n\n\n<p>A palavra inequa\u00e7\u00e3o costuma criar um bloqueio nos estudantes que imaginam nela um verdadeiro bicho de sete cabe\u00e7as.&nbsp;<\/p>\n\n\n\n<p>Nesse post, <strong>n\u00f3s iremos simplificar <\/strong>para que voc\u00ea chegue no ENEM<strong> dominando opera\u00e7\u00f5es com Inequa\u00e7\u00f5es do 2\u00b0 grau.<\/strong><\/p>\n\n\n\n<p>Para isso, \u00e9 muito importante que voc\u00ea <strong>leia at\u00e9 o final e fa\u00e7a nossa lista de exerc\u00edcios selecionada<\/strong> dos maiores vestibulares do Brasil!<\/p>\n\n\n\n<ul>\n<li>&nbsp;\u00c9 poss\u00edvel <a href=\"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-inequacao\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">aprender Inequa\u00e7\u00e3o de 1\u00b0 Grau<\/a> de forma simples, acredite!<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">O que \u00e9 Inequa\u00e7\u00e3o do 2\u00b0 grau?<\/h2>\n\n\n\n<p><strong>S\u00e3o denominadas de Inequa\u00e7\u00f5es do 2\u00b0 grau as rela\u00e7\u00f5es de desigualdade que s\u00e3o compostas por express\u00f5es matem\u00e1ticas de grau 2<\/strong>. Essa compara\u00e7\u00e3o pode ser dada da seguinte forma:<\/p>\n\n\n\n<ul>\n<li><strong>ax\u00b2 + bx + c &gt; 0<\/strong>, ou seja,<strong> a opera\u00e7\u00e3o (<\/strong>ax\u00b2 + bx + c<strong>) d\u00e1 um resultado maior (&gt;) do que zero;<\/strong><\/li>\n\n\n\n<li><strong>ax\u00b2 + bx + c \u2265 0<\/strong>, ou seja, <strong>a opera\u00e7\u00e3o (<\/strong>ax\u00b2 + bx + c<strong>) d\u00e1 um resultado maior (&gt;) ou igual (=) a zero;<\/strong><\/li>\n\n\n\n<li><strong>ax\u00b2 + bx + c &lt; 0<\/strong>, ou seja,<strong> a opera\u00e7\u00e3o (<\/strong>ax\u00b2 + bx + c<strong>) d\u00e1 um resultado menor (&lt;) do que zero;<\/strong><\/li>\n\n\n\n<li><strong>ax\u00b2 + bx + c \u2264 0<\/strong>, ou seja, <strong>a opera\u00e7\u00e3o (<\/strong>ax\u00b2 + bx + c<strong>) d\u00e1 um resultado menor (&lt;) ou igual (=) a zero;<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/08\/inequa\u00e7\u00e3o-do-1\u00b0-grau-dica.jpg\" alt=\"Qual a diferen\u00e7a dos sinais de maior e menor?\" class=\"wp-image-17554\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/08\/inequa\u00e7\u00e3o-do-1\u00b0-grau-dica.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/08\/inequa\u00e7\u00e3o-do-1\u00b0-grau-dica-300x150.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/08\/inequa\u00e7\u00e3o-do-1\u00b0-grau-dica-320x160.jpg 320w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">Qual a diferen\u00e7a entre Equa\u00e7\u00e3o do 2\u00b0 grau e Inequa\u00e7\u00e3o do 2\u00b0 grau?<\/h3>\n\n\n\n<p><strong>As equa\u00e7\u00f5es do 2\u00b0 grau s\u00e3o rela\u00e7\u00f5es de igualdade<\/strong> e sua resolu\u00e7\u00e3o se d\u00e1 pelos \u00fanicos valores que X pode adotar para que a senten\u00e7a seja verdadeira.<\/p>\n\n\n\n<p><strong>J\u00e1 as Inequa\u00e7\u00f5es do 2\u00b0 grau s\u00e3o as rela\u00e7\u00f5es de desigualdade <\/strong>e sua resolu\u00e7\u00e3o se d\u00e1 pela <strong>busca de alguns valores de X capazes de satisfazer a equa\u00e7\u00e3o.<\/strong>&nbsp;<\/p>\n\n\n\n<p>Esses valores, agrupados, s\u00e3o denominados de <strong>conjunto solu\u00e7\u00e3o.<\/strong><\/p>\n\n\n\n<ul>\n<li>\u00c9 muito importante saber <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/equacao-exponencial\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">O que S\u00e3o Equa\u00e7\u00f5es Exponenciais<\/a>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Como resolver uma Inequa\u00e7\u00e3o de 2\u00b0 grau?<\/h3>\n\n\n\n<p><strong>Para resolver Inequa\u00e7\u00f5es do 2\u00b0 grau precisamos transformar as express\u00f5es em fun\u00e7\u00f5es.<\/strong> Feito isso, basta estudar quais valores de X fazem com que o sinal da fun\u00e7\u00e3o seja obedecido.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"678\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00e3o-do-1\u00b0-grau-imagem.jpg\" alt=\"Como calcular Inequa\u00e7\u00f5es do 2\u00b0 grau\" class=\"wp-image-18026\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00e3o-do-1\u00b0-grau-imagem.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00e3o-do-1\u00b0-grau-imagem-265x300.jpg 265w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00e3o-do-1\u00b0-grau-imagem-320x362.jpg 320w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure><\/div>\n\n\n<ul>\n<li>\u00c9 muito necess\u00e1rio prestar bastante aten\u00e7\u00e3o no sinal de desigualdade e lembrar que a forma como resolvemos<a href=\"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-inequacao\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\"> Inequa\u00e7\u00f5es do 1\u00b0 grau<\/a> \u00e9 <strong>DIFERENTE<\/strong> da forma com a qual resolvemos <strong>Inequa\u00e7\u00f5es do 2\u00b0 grau.<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Sabia que \u00e9 poss\u00edvel resolver uma inequa\u00e7\u00e3o do 2\u00b0 grau em 9 passos?<\/h3>\n\n\n\n<p>Acreditando que praticar \u00e9 essencial, antes de partirmos para uma lista com exerc\u00edcios selecionados para voc\u00ea, <strong>vamos dar um exemplo de como resolver um problema envolvendo Inequa\u00e7\u00e3o do 2\u00b0 grau em apenas 9 passos.<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Exemplo<\/h4>\n\n\n\n<p class=\"has-text-align-center\"><strong>X\u00b2 &#8211; 4X&nbsp; -5 &lt; 0<\/strong><\/p>\n\n\n\n<p><strong>Passo 1 &#8211;<\/strong> Devemos inicialmente buscar uma s\u00e9rie de valores de X que permitem que X\u00b2 &#8211; 4x -5 seja um <strong>valor menor do que zero.<\/strong><\/p>\n\n\n\n<p><strong>Passo 2 &#8211; <\/strong>Logo, devemos transformar essa <strong>express\u00e3o em uma fun\u00e7\u00e3o f(x);<\/strong><\/p>\n\n\n\n<p><strong>Passo 3 &#8211;<\/strong> A partir da\u00ed, estudaremos os sinais no objetivo de determinar <strong>valores de x onde a fun\u00e7\u00e3o \u00e9 negativa, ou seja, menor do que zero.<\/strong><\/p>\n\n\n\n<p><strong>Vamos l\u00e1?<\/strong><\/p>\n\n\n\n<p><strong>Passo 4 &#8211;&nbsp; <\/strong>f(x) = X\u00b2 -4X &#8211; 5<\/p>\n\n\n\n<p>Lembrando dos termos das equa\u00e7\u00f5es, tenho que:<\/p>\n\n\n\n<p><strong>a =<\/strong> 1<\/p>\n\n\n\n<p><strong>b = <\/strong>-4<\/p>\n\n\n\n<p><strong>c= <\/strong>&#8211; 5<\/p>\n\n\n\n<p><strong>Como sei disso?&nbsp;<\/strong><\/p>\n\n\n\n<p>Lembre-se de uma express\u00e3o gen\u00e9rica do segundo grau: <strong>aX\u00b2 + bX + c = 0<\/strong>. Apenas identifiquei os <strong>coeficientes a,b e c.<\/strong><\/p>\n\n\n\n<p><strong>Passo 5 &#8211;<\/strong> Sabendo que o coeficiente <strong>a <\/strong>\u00e9 positivo, tamb\u00e9m sei que quando eu representar esta inequa\u00e7\u00e3o graficamente, terei uma<strong> par\u00e1bola c\u00f4ncava para cima, sorridente.&nbsp;<\/strong><\/p>\n\n\n\n<p>Vamos continuar para calcular a discriminante:<\/p>\n\n\n\n<p><strong>Passo 6 &#8211;&nbsp;<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"606\" height=\"307\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-1.jpg\" alt=\"Como calcular o delta\" class=\"wp-image-18005\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-1.jpg 606w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-1-300x152.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-1-320x162.jpg 320w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/figure><\/div>\n\n\n<p><strong>Passo 7 &#8211;<\/strong> Sendo essa discriminante maior do que 0, sabemos que <strong>ela possui duas ra\u00edzes reais e distintas. <\/strong>Utilizaremos a <strong>F\u00f3rmula de Bh\u00e1skara<\/strong> para descobrir essas ra\u00edzes:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"454\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2023\/07\/exercicios-sobre-inequacoes.jpg\" alt=\"\" class=\"wp-image-30197\"\/><\/figure><\/div>\n\n\n<ul>\n<li><a href=\"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-formula-bhaskara\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">A F\u00f3rmula de Bh\u00e1skara<\/a> \u00e9 essencial para aprender matem\u00e1tica<\/li>\n<\/ul>\n\n\n\n<p><strong>Passo 8 &#8211;<\/strong> Precisamos encontrar o conjunto de valores de X para que a Inequa\u00e7\u00e3o do 2\u00b0 grau obede\u00e7a aquilo que ela diz, ou seja, <strong>tenha um valor menor do que zero.<\/strong><\/p>\n\n\n\n<p><strong>Esse valor n\u00e3o pode ser 4 e nem -2, pois isso zeraria a equa\u00e7\u00e3o<\/strong> e queremos que ela seja algum n\u00famero menor que 0.<\/p>\n\n\n\n<p>Por isso sabemos que <strong>os valores poss\u00edveis para X est\u00e3o entre -2 e 4, sem incluir -2 e 4<\/strong>, da\u00ed o fato da <strong>bolinha estar aberta na representa\u00e7\u00e3o gr\u00e1fica.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"606\" height=\"307\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-2-1.jpg\" alt=\"Como representar a Inequa\u00e7\u00e3o do 2\u00b0 graficamente?\" class=\"wp-image-18008\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-2-1.jpg 606w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-2-1-300x152.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/09\/inequa\u00e7\u00f5es-imagem-2-1-320x162.jpg 320w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/figure><\/div>\n\n\n<p><strong>Passo 9 &#8211; <\/strong>Assim, podemos concluir que <strong>qualquer valor real entre -2 e 4 satisfaria a nossa Inequa\u00e7\u00e3o do 2\u00b0 grau<\/strong>, sendo assim, esse \u00e9 o nosso conjunto solu\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>S = {<em>x<\/em> \u2208 \u211d | \u20132 &lt; <em>x<\/em> &lt; 4 }&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Agora que voc\u00ea aprendeu esse hack das Inequa\u00e7\u00f5es<\/strong>, coloque seu conhecimento em pr\u00e1tica com Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau&nbsp;<\/h2>\n\n\n\n<p>Chegou o momento de colocar na pr\u00e1tica todo o seu conhecimento fazendo <strong>exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau.<\/strong>&nbsp;<\/p>\n\n\n\n<p><strong>Parab\u00e9ns<\/strong> por ter lido at\u00e9 aqui!!!&nbsp;<\/p>\n\n\n\n<p><strong>Baixe gratuitamente <\/strong>o <a href=\"https:\/\/beduka.com\/blog\/dicas\/enem-dicas\/plano-de-estudos-gratuito\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">Plano de Estudos<\/a> do Beduka e <strong>tenha uma prepara\u00e7\u00e3o perfeita para o ENEM.<\/strong><\/p>\n\n\n\n<p><strong>Quest\u00e3o 1 &#8211; <\/strong><a href=\"https:\/\/www.puc-rio.br\/vestibular\/repositorio\/provas\/2009\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">(PUC-RIO 2009)<\/a> Quantas solu\u00e7\u00f5es inteiras a inequa\u00e7\u00e3o x\u00b2 + x &#8211; 20 \u2264 0 admite?<br><strong>a) <\/strong>2<\/p>\n\n\n\n<p><strong>b) <\/strong>3<\/p>\n\n\n\n<p><strong>c) <\/strong>7<\/p>\n\n\n\n<p><strong>d) <\/strong>10&nbsp;<\/p>\n\n\n\n<p><strong>e) <\/strong>13<\/p>\n\n\n\n<p><strong>Quest\u00e3o 2 &#8211; <\/strong><a href=\"https:\/\/www.infoescola.com\/exercicios\/prova\/udesc-2008\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">(UDESC 2008)<\/a> O conjunto solu\u00e7\u00e3o da inequa\u00e7\u00e3o x\u00b2 &#8211; 2x &#8211; 3 \u2264 0 \u00e9:<\/p>\n\n\n\n<p><strong>a) <\/strong>{x R\/ -1 &lt; x &lt; 3}<\/p>\n\n\n\n<p><strong>b) <\/strong>{x R\/ -1 &lt; x \u2264 3}<\/p>\n\n\n\n<p><strong>c) <\/strong>{x R\/x &lt; -1 ou x &gt; 3}<\/p>\n\n\n\n<p><strong>d) <\/strong>{x R \/ -1 \u2264 -1 ou \u2265&nbsp; 3}<\/p>\n\n\n\n<p><strong>e) <\/strong>{x R\/ -1 \u2264 x \u2264 3}<\/p>\n\n\n\n<p><strong>Quest\u00e3o 3 &#8211; <\/strong><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"http:\/\/www.ufrgs.br\/coperse\/concurso-vestibular\/anteriores\/2017\" target=\"_blank\">(UFRGS 2017)<\/a> Sendo <em>a<\/em> e <em>b<\/em> n\u00fameros reais, considere as afirma\u00e7\u00f5es a seguir.<\/p>\n\n\n\n<p><strong>I)<\/strong> Se <em>a &lt; b<\/em> ent\u00e3o&nbsp; \u2013<em>a &gt; \u2013b<\/em> .<\/p>\n\n\n\n<p><strong>II)<\/strong> Se <em>a &gt; b<\/em> ent\u00e3o <em>1\/a &lt; 1\/b<\/em> .<\/p>\n\n\n\n<p><strong>III) <\/strong>Se <em>a &lt; b<\/em> ent\u00e3o <em>a<\/em><em><sup>2<\/sup><\/em><em> &lt; b<\/em><em><sup>2<\/sup><\/em><em> <\/em>.<\/p>\n\n\n\n<p>Quais est\u00e3o <strong>corretas?<\/strong><\/p>\n\n\n\n<p><strong>a) <\/strong>Apenas I<\/p>\n\n\n\n<p><strong>b) <\/strong>Apenas II<\/p>\n\n\n\n<p><strong>c) <\/strong>Apenas III<\/p>\n\n\n\n<p><strong>d) <\/strong>Apenas I e II<\/p>\n\n\n\n<p><strong>e) <\/strong>I,II e II.<\/p>\n\n\n\n<p><strong>Quest\u00e3o 4 &#8211; <\/strong><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"http:\/\/www.cesgranrio.org.br\/concursos\/evento.aspx?id=bndes0112\" target=\"_blank\">(BNDES \u2013 Cesgranrio)<\/a>. O conjunto-solu\u00e7\u00e3o da inequa\u00e7\u00e3o 9 \u2013 x\u00b2 &gt; 0 \u00e9:<\/p>\n\n\n\n<p><strong>a)<\/strong> \u2013 3 &gt; x &gt; 3<\/p>\n\n\n\n<p><strong>b)<\/strong> \u2013 3 &lt; x &lt; 3<\/p>\n\n\n\n<p><strong>c)<\/strong> x = 3<\/p>\n\n\n\n<p><strong>d)<\/strong> x &lt; 3<\/p>\n\n\n\n<p><strong>e)<\/strong> x &gt; 3<\/p>\n\n\n\n<p><strong>Quest\u00e3o 5 &#8211; <\/strong><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"http:\/\/www.cesgranrio.org.br\/concursos\/evento.aspx?id=bb0118\" target=\"_blank\">(BB \u2013 Cesgranrio)<\/a>. A proposi\u00e7\u00e3o funcional \u201cPara todo e qualquer valor de n, tem-se 6n &lt; n\u00b2 + 8&nbsp; \u201d ser\u00e1 verdadeira, se n for um n\u00famero real<\/p>\n\n\n\n<p><strong>a)<\/strong> menor que 8.<\/p>\n\n\n\n<p><strong>b)<\/strong> menor que 4.<\/p>\n\n\n\n<p><strong>c)<\/strong> menor que 2.<\/p>\n\n\n\n<p><strong>d)<\/strong> maior que 2.<\/p>\n\n\n\n<p><strong>e)<\/strong> maior que 3.<\/p>\n\n\n\n<p><strong>Quest\u00e3o 6 &#8211; <\/strong><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"http:\/\/www.receita.fazenda.gov.br\/historico\/srf\/recursoshumanos\/concursopublico.htm\" target=\"_blank\">(RFB \u2013 Esaf)<\/a> Considere as inequa\u00e7\u00f5es dadas por:<\/p>\n\n\n\n<p><strong>f(x) = x\u00b2 \u2013 2x + 1 \u2264 0<\/strong><\/p>\n\n\n\n<p><strong>g(x) = -2x\u00b2 + 3x + 2 \u2265 0<\/strong><\/p>\n\n\n\n<p>Sabendo-se que A \u00e9 o conjunto solu\u00e7\u00e3o de f(x) e B o conjunto solu\u00e7\u00e3o de g(x), ent\u00e3o o conjunto Y = A \u2229 B \u00e9 igual a:<\/p>\n\n\n\n<p><strong>a)<\/strong> Y = { x \u2208 R | -1\/2 &lt; x \u2264 2 }<\/p>\n\n\n\n<p><strong>b)<\/strong> Y = { x \u2208 R | -1\/2 \u2264 x \u2264 2 }<\/p>\n\n\n\n<p><strong>c) <\/strong>Y = { x \u2208 R | x = 1 }<\/p>\n\n\n\n<p><strong>d)<\/strong> Y = { x \u2208 R | x \u2265 0 }<\/p>\n\n\n\n<p><strong>e)<\/strong> Y = { x \u2208 R | x \u2264 0 }<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Respostas dos exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau:<\/h2>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 1 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>d) <\/strong>10<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 2 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong><strong>e) <\/strong><\/strong>{x R\/ -1 \u2264 x \u2264 3}<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 3 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>a) <\/strong>Apenas I<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 4 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>&nbsp;b)<\/strong> \u2013 3 &lt; x &lt; 3<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 5 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>&nbsp;c)<\/strong> menor que 2.<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 6 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: <strong>c)<\/strong> Y = { x \u2208 R | x = 1 }<\/p>\n\n\n\n<p>Estude para o Enem com o <a href=\"https:\/\/beduka.com\/simulado\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">Simulado Beduka.<\/a> <strong>\u00c9 gratuito!<\/strong><\/p>\n\n\n\n<p>Gostou dos nossos <strong>Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 Grau?<\/strong> Compartilhe com os seus amigos e comente abaixo sobre as \u00e1reas que voc\u00ea deseja mais explica\u00e7\u00f5es.<\/p>\n\n\n\n<p>Queremos te ajudar a encontrar a <strong>FACULDADE IDEAL! <\/strong>Logo abaixo, fa\u00e7a uma pesquisa por curso e cidade que te mostraremos todas as faculdades que podem te atender. <strong>Informamos a nota de corte, valor de mensalidade, nota do MEC, avalia\u00e7\u00e3o dos alunos, modalidades de ensino e muito mais.<\/strong><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>S\u00e3o denominas de Inequa\u00e7\u00f5es do 2\u00b0 grau as rela\u00e7\u00f5es de desigualdade que s\u00e3o compostas por express\u00f5es matem\u00e1ticas de grau 2. Este post vai te ensinar de maneira simples como dominar as opera\u00e7\u00f5es com inequa\u00e7\u00f5es. Leia nosso resumo e fa\u00e7a nossa lista de Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau. Quando voc\u00ea terminar os Exerc\u00edcios de Inequa\u00e7\u00f5es [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":18003,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"categories":[610],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.10 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 Grau com Gabarito<\/title>\n<meta name=\"description\" content=\"Coloque seu conhecimento em pr\u00e1tica com nossa Lista de Exerc\u00edcios de Inequa\u00e7\u00f5es do 2\u00b0 grau selecionados dos maiores vestibulares do Brasil.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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