Question

The solution of the linear inequality $\frac{3(x-2)}{5}\le \frac{5(2-x)}{3}$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Given inequality is

$\frac{3}{5}(x-2)-\frac{5}{3}\left(2x\right)\Rightarrow (x-2)(\frac{3}{5}+\frac{5}{3})\le 0\Rightarrow x-2\le 0\Rightarrow xϵ(-\infty ,2]$