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Question

Solve the inequalities:
$2 \leq 3 x - 4 \leq 5$

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Solution

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$2 \leq 3 x - 4 \leq 5$
$\Rightarrow 2 + 4 \leq 3 x \leq 5 + 4$
$\Rightarrow 6 \leq 3 x \leq 9$
$\Rightarrow 2 \leq x \leq 3$
$\Rightarrow x \in [2, 3]$

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