Answer: Choice A
x < -3 or x > 1
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Work Shown:
Solve the first inequality for x
3x+2 < -7
3x < -7-2 .... subtract 2 from both sides
3x < -9
x < -9/3 .... divide both sides by 3
x < -3
Do the same for the second inequality
-4x+5 < 1
-4x < 1-5
-4x < -4
x > -4/(-4) .... note the inequality sign flips
x > 1
So either x < -3 or x > 1. This points to choice A as the answer.