Question

resolva o sistema de inequações 2<x-12<8

Answer 1

1°- 2<x-12
2+12<x
14<x 

2°- x-12<8
x<8+12
x<20

S={X e IR I 14<x<20}

Answer 2

Resolvendo a inequação:

$\mathsf{2\ \textless \ x-12\ \textless \ 8}\\\mathsf{12+2\ \textless \ x-12+12\ \textless \ 8+12}\\\mathsf{14\ \textless \ x\ \textless \ 20}\\\\\\\boxed{\mathsf{S=\left\{x\in \mathbb{R}\:\:/\:\:14\ \textless \ x\ \textless \ 20\right\}}}$