Question

Find the solution set of this inequality enter in interval notation using grouping symbols. |-4x - 14|<6

Answer 1

`|-4x-14|\ \textless \ 6 \\ -4x-14\ \textless \ 6 \ \land \ -4x-14\ \textgreater \ -6 \\ -4x\ \textless \ 6+14 \ \land \ -4x\ \textgreater \ -6+14 \\ -4x\ \textless \ 20 \ \land \ -4x\ \textgreater \ 8 \\ x\ \textgreater \ (20)/(-4) \ \land \ x\ \textless \ (8)/(-4) \\ x\ \textgreater \ -5 \ \land \ x\ \textless \ -2 \\ \boxed{x \in (-5,-2)}`