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Question
Solve the inequality.
`-12 < 4 - (3x)/(-5) <= 2`
Sum
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Solution
`- 12 < 4 - (3x)/(- 5) ≤ 2`
⇒ `- 12 - 4 < (-13)/(- 5) ≤ 2 - 4`
⇒ `- 16 < (3x)/5 ≤ - 2`
⇒ - 80 < 3x ≤ - 10
⇒ `(- 80)/3 < x ≤ (-10)/3`
Thus, the solution set for the given inequality is (-80/3, -10/3)
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