SOLUTION: Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5
You dont need to graph it I just need help solving it, thanks
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Question 851772: Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5
You dont need to graph it I just need help solving it, thanks
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
Hello,
2x - 3 < x + 2 ≤ 3x + 5
1. Separate these into two different inequalities:
2x - 3 < x + 2 AND x + 2 ≤ 3x + 5
2. Solve for x in each inequality:
2x - 3 < x + 2 -----> x < 5
x + 2 ≤ 3x + 5 -----> -3 ≤ 2x -----> -3/2 ≤ x
We now know that x must be less than 5 and greater than -3/2. So,
-3/2 ≤ x < 5 which is your final answer.
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