Question

Verifique se o número -5 é solução das inequações:

a) 2x<10
b)1-2x<2
c)x>0
3

d) x>- 2

Answer 1

$a)~2x\ \textless \ 10\to~~x\ \textless \ \dfrac{10}{5} \to~~x\ \textless \ 2\\\\ \boxed{S=\{xER|x\ \textless \ 2\}} \\\\\\\\\\ b)~1-2x\ \textless \ 2\to~~-2x\ \textless \ 2-1\to ~~-2x\ \textless \ 1~(-1)\to~~ 2x\ \textgreater \ -1\to\\\\ x\ \textgreater \ - \frac{1}{2} \\\\ \boxed{S=\{xER|x\ \textgreater \ - \frac{1}{2} \} }$



$c)~ \dfrac{x}{3} \ \textgreater \ 0\to ~~x\ \textgreater \ 0\\\\ \boxed{S=\{xER|x\ \textgreater \ 0\}}\\\\\\\\ d)~x\ \textgreater \ -2\\\\ \boxed{S=\{xER| x\ \textgreater \ -2\}}$



R.: -5 é solução apenas da inequação A.