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Solve the inequality -15 < 3(x-2)/5 ≤ 0

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asked Feb 17, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 949

Solve the inequality -15 < 3(x-2)/5 ≤ 0

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answered Feb 17, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Feb 17, 2018 by sforrest072
 
Best answer

⇒ –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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