\nEnunciado<\/b><\/span><\/p>\n
Determina a soma dos n\u00fameros inteiros maiores\u00a0que $-6$ que satisfazem a inequa\u00e7\u00e3o:$$2-\\frac{x-2}{4}>3+\\frac{x-3}{3}$$<\/p>\n
Resolu\u00e7\u00e3o >><\/a><\/span><\/div><\/div>\n\n
\nResolu\u00e7\u00e3o<\/b><\/span><\/p>\n
Come\u00e7ando por resolver a inequa\u00e7\u00e3o, temos:<\/p>\n
$$\\begin{array}{*{35}{l}}
\n\\underset{(12)}{\\mathop{2}}\\,-\\frac{x-2}{\\underset{(3)}{\\mathop{4}}\\,}>\\underset{(12)}{\\mathop{3}}\\,+\\frac{x-3}{\\underset{(4)}{\\mathop{3}}\\,} & \\Leftrightarrow\u00a0 & 24-3x+6>36+4x-12\u00a0 \\\\
\n{} & \\Leftrightarrow\u00a0 & -7x>-6\u00a0 \\\\
\n{} & \\Leftrightarrow\u00a0 & x<\\frac{6}{7}\u00a0 \\\\
\n\\end{array}$$<\/p>\n
\\[S=\\left] -\\infty ,\\frac{6}{7} \\right[\\]<\/p>\n
$\"\"$ <\/a><\/p>\n
Os n\u00fameros inteiros maiores\u00a0que $-6$ que satisfazem a inequa\u00e7\u00e3o s\u00e3o: $-5$, $-4$, $-3$, $-2$, $-1$ e $0$.<\/p>\n
A sua soma \u00e9 $-5+(-4)+(-3)+(-2)+(-1)+0=-15$.<\/p><\/p>\n
<< Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"
Enunciado Resolu\u00e7\u00e3o Enunciado Determina a soma dos n\u00fameros inteiros maiores\u00a0que $-6$ que satisfazem a inequa\u00e7\u00e3o:$$2-\\frac{x-2}{4}>3+\\frac{x-3}{3}$$ Resolu\u00e7\u00e3o >> Resolu\u00e7\u00e3o << Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14057,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[426,270,266],"series":[],"class_list":["post-7320","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-9-o-ano","tag-inequacao","tag-numeros-reais"],"views":2404,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat02.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7320","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=7320"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7320\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14057"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7320"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}