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Question
Solve the inequality.
`-15 < (3(x - 2))/5 <= 0`
Sum
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Solution
`-15 < (3(x - 2))/5 <= 0`
⇒ –75 < 3(x – 2) ≤ 0
⇒ –25 < x – 2 ≤ 0
⇒ – 25 + 2 < x ≤ 2
⇒ –23 < x ≤ 2
Thus, the solution set for the given inequality is (–23, 2].
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