Question

Solve each of the following of equations in R.
$\frac{3x-4}{2}\le \frac{5}{12}$

Answer 1

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

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

$\Rightarrow 3x\le \frac{5}{6}+4$

$\Rightarrow 3x\le \frac{5+24}{6}$

$\Rightarrow 3x\le \frac{29}{6}$

$\Rightarrow x\le \frac{29}{18}$

$\therefore x\in (-\infty ,\frac{29}{18}]$