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Question

Solve the inequalities
$7 < \frac{(3 x + 11)}{2} \leq 11$

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Solution

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Given :
$7 < \frac{(3 x + 11)}{2} \leq 11$
$14 < 3 x + 11 \leq 22$
$3 < 3 x \leq 11$
$1 < x \leq \frac{11}{3}$
$∴ x \in (1, \frac{11}{3}]$

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