Question

das perguntas 1 até a 5 resolva as inadequações: a)7x+6>4x+7 b)4(x-1)-2(3x+1)<10 c)5x-3(X+6)>x-14 d)x-18<-23. e)13x-1<9x+1

Answer 1

Olá, tudo bem?

$a)7x+6\ \textgreater \ 4x+7\rightarrow 3x\ \textgreater \ 1\rightarrow \boxed{x\ \textgreater \ \dfrac{1}{3}}\\\\b)4(x-1)-2(3x+1)\ \textless \ 10\rightarrow4x-4-6x-2\ \textless \ 10\rightarrow\\\\-2x\ \textless \ 16\,\,(-1)\rightarrow 2x\ \textgreater \ -16\rightarrow \boxed{x\ \textgreater \ -8}$

$c)5x-3(x+6)\ \textgreater \ x-14\rightarrow 5x-3x-18\ \textgreater \ x-14\rightarrow \boxed{x\ \textgreater \ 4}\\\\d)x-18\ \textless \ -23\rightarrow \boxed{x\ \textless \ -5}\\\\e)13x-1\ \textless \ 9x+1\rightarrow 13x-9x\ \textless \ 1+1\rightarrow 4x\ \textless \ 2\rightarrow \boxed{x\ \textless \ \dfrac{1}{2}}$

Qualquer dúvida, por favor, é só me comunicar, ok? Muito Agradecido!!