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Question

Solve the inequality for real $x$ .
$3 (2 - x) \geq 2 (1 - x)$

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Solution

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

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