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Question
Solve the inequality.
`7 <= (3x + 11)/2 <= 11`
Solution
`7 ≤ (3x + 11)/2 ≤ 11`
⇒ 14 ≤ 3x + 11 ≤ 22
⇒ 14 - 11 ≤ 3x ≤ 22 - 11
⇒ 3 ≤ 3x ≤ 11
⇒ 1 ≤ x ≤ `11/3`
Thus, the solution set for the given inequality is `[1, 11/3]`
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