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  • Solve the inequality 7 less than or equal to (3x + 11) / 2 less than or equal to 11

Solve the inequality

    Q6.    7 \leq \frac{(3x+ 11)}{2}\leq 11

Answers (1)

best_answer

Given the linear inequality

 7 \leq \frac{(3x+ 11)}{2}\leq 11

7 \leq \frac{(3x+ 11)}{2}\leq 11

\Rightarrow \, \, 7\times 2 \leq (3x+ 11)\leq 11\times 2

\Rightarrow \, \, 14 \leq (3x+ 11)\leq 22

\Rightarrow \, \, 14-11 \leq (3x)\leq 22-11

\Rightarrow \, \, 3 \leq 3x\leq 11

\Rightarrow \, \, 1 \leq x\leq \frac{11}{3}

The solution set  of the given inequality is  [1,\frac{11}{3}]

Posted by

seema garhwal

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