To solve the compound inequality -5 < 3x + 7 < 22, we need to isolate x.
1. Subtract 7 from all parts of the inequality:
-5 - 7 < 3x + 7 - 7 < 22 - 7
This gives us:
-12 < 3x < 15
2. Divide all parts of the inequality by 3:
-12/3 < 3x/3 < 15/3
This simplifies to:
-4 < x < 5
Therefore, the solution to the compound inequality -5 < 3x + 7 < 22 is -4 < x < 5.
Solve the compound inequality -5<3x+7<22
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