SOLUTION: Solve the inequality 2x - 3 < x + 2 &#8804; 3x + 5. Show your work.

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Question 928035: Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is two inequalities combined with AND.


2x-3%3Cx%2B2
x-3%3C2
x%3C2%2B3
highlight%28x%3C5%29


x%2B2%3C=3x%2B5
3x%2B5%3E=x%2B2
2x%2B5%3E=2
2x%3E=2-5
2x%3E=-3
highlight%28x%3E=-3%2F2%29


Put those two results together to be both true.
highlight%28highlight%28-3%2F2%3C=x%3C5%29%29