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Question: Solve−4<3x+8≤23

Short Answer

Expert verified

The solution of the given compound inequality−4<3x+8≤23isx∈−4,5

Step by step solution

01

Step 1. Solve the given compound inequality −4<3x+8≤23

The solution of the given compound inequality −4<3x+8≤23is:

−4<3x+8≤23−4−8<3x+8−8≤23−8−12<3x≤15−123<3x3≤153−4<x≤5

02

Step 2. Write the solution of the given compound inequality −4<3x+8≤23.

The solution in interval notation is x∈−4,5

Therefore, the solution of the compound inequality−4<3x+8≤23isx∈−4,5

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