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  4. The solution set of the inequality 3(2-x) ≥ 2(1-x) is (-∞, a ] . The value of ' a ' is

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

Linear Inequalities

Solution:

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