Question

Number of integral solutions of $-5\le \frac{5-3x}{2}\le 8$ is

• A. $7$
• B. $6$
• C. $8$
• D. $9$

Answer 1

The correct option is D $9$

$-5\le \frac{5-3x}{2}\le 8$
$\Rightarrow -10\le 5-3x\le 16$
$\Rightarrow -15\le -3x\le 11$
$\Rightarrow -11\le 3x\le 15$
$\Rightarrow \frac{-11}{3}\le x\le 5$
$\Rightarrow x=-3,-2,-1,0,1,2,3,4,5$