Question

Resolva inedequadaçoes
6x-4>32


7x-3(x-2)-2>0


2(4x-3)<7x+9

Answer 1

$6x-4\ \textgreater \ 32\to \\\\ 6x\ \textgreater \ 32+4\to \\\\ 6x\ \textgreater \ 36\to \\\\ x\ \textgreater \ \frac{36}{6} \to \\\\ x\ \textgreater \ 6\\\\\\ \boxed{S=\{xER|~x\ \textgreater \ 6\}}$





$7x-3(x-2)-2\ \textgreater \ 0\to \\\\ 7x-3x+6-2\ \textgreater \ 0\to \\\\ 4x+4\ \textgreater \ 0\to \\\\ 4x\ \textgreater \ -4\to \\\\x\ \textgreater \ - \frac{4}{4} \to \\\\ x\ \textgreater \ -1\\\\\\ \boxed{S=\{xER|~x\ \textgreater \ -1\}}$





$2(4x-3)\ \textless \ 7x+9\to \\\\ 8x-6\ \textless \ 7x+9\to \\\\ 8x-7x\ \textless \ 9+6\to \\\\ x\ \textless \ 15\\\\\\ \boxed{S=\{xER|~x\ \textless \ 15\}}$