Question

Solve the following inequation :-

$\left|\frac{3x-4}{2}\right|\le \frac{5}{12}$

Answer 1

$\left|\frac{3x-4}{2}\right|\le \frac{5}{k}$

$\frac{-5}{k}\le \frac{3x-4}{2}\le \frac{5}{k}$

$\frac{-5}{6}\le 3x-4\le \frac{5}{6}$

$\frac{-5}{4}+4\le 3x\le \frac{5}{4}+4$

$\frac{11}{4}\le 3x\le \frac{21}{5}$

$\frac{11}{k}\le x\le \frac{7}{5}$