Question

resolva as seguintes inequações:
a) -4 x -7 >9
b) 6x+8<16
c) 3 -4 x >x -7
d) 9 x -18-5 x +15<1

Answer 1

$a) -4x-7\ \textgreater \ 9 \\ \\ -4x\ \textgreater \ 9+7 \\ \\ -4x\ \textgreater \ 16 \\ \\ 4x\ \textless \ 16 \\ \\ x\ \textless \ \frac{16}{4} \\ \\ x\ \textless \ 4 \\ \\ \\ b) 6x+8\ \textless \ 16 \\ \\ 6x\ \textless \ 16-8 \\ \\ 6x\ \textless \ 8x\ \textless \ \frac{8}{6} \\ \\ x\ \textless \ \frac{4}{3} \\ \\ \\ c)3-4x\ \textgreater \ x-7 \\ \\ -4x-x\ \textgreater \ -7-3 \\ \\ -5x\ \textgreater \ -10 \\ \\ 5x\ \textless \ 10 \\ \\ x\ \textless \ \frac{10}{5} \\ \\ x\ \textless \ 2 \\ \\ \\ d) 9x-18-5x+15\ \textless \ 1 \\ \\ 9x-5x\ \textless \ 1+18-15 \\ \\ 4x\ \textless \ 4 \\ \\ x\ \textless \ \frac{4}{4} \\ \\ x\ \textless \ 1$