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Sagot :
The solution to the given inequality is -10 < x < 5.
How to solve a compound inequality involving the and operation?
To solve a compound inequality involving the and operation, we solve each inequality, then find the intersection of these solutions.
For this problem, the inequality is given by:
-12 < 0.5(4x + 16) < 18.
Multiplying all the terms by 2:
-24 < 4x + 16 < 36
Hence:
4x + 16 > -24
4x > -40
x > -10.
4x + 16 < 36
4x < 20
x < 5
The intersection of these two solutions is:
-10 < x < 5.
More can be learned about inequalities at https://brainly.com/question/25235995
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