Question

(3)2x-1 < (9)2x+2
Alguem pode me ajudar por favor?

Answer 1

$3\cdot \left(2x-1\right)\ \textless \ 9\cdot \left(2x+2\right)\\6x-3\ \textless \ \:18x+18\\6x-18x\ \textless \ \:18+3\\-12x\ \textless \ \:21\\-\frac{12x}{3}\ \textless \ \:\frac{21}{3}\\-4x\ \textless \ \:7\\-x\ \textless \ \:\frac{7}{4}\\\boxed{\bold{x\ \textgreater \ -\frac{7}{4}}}$