Question

The solution set of the inequality $3(2-x)\ge 2(1-x)$ is $(-\infty ,a].$ The value of ' $a$ ' is

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

Answer: (C)

$3(2-x)\ge 2(1-x)$
$\Rightarrow 6-3x\ge 2-2x$
$\Rightarrow -x\ge -4$
$\Rightarrow x\le 4$
$\Rightarrow x\in (-\infty ,4]$