Question

How many integers are solution of the inequality 3|x|+2<17?

Answer 1

`3|x|+2\ \textless \ 17 \ \ \ \ \ \ \ \ \ |-2 \\ 3|x|\ \textless \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \\ |x|\ \textless \ 5 \\ x\ \textless \ 5 \ \land \ x \ \textgreater \ -5 \\ x \in (-5,5)`

9 integers are solutions of the inequality, namely -4, -3, -2, -1, 0, 1, 2, 3, 4.