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Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.?

Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.?
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Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.?

User Nicotine
by
8.3k points

1 Answer

4 votes
Add like terms and put x in the middle.
-3 < -2x + x - 3x ≤ 5 - 2
-3 < - 4x ≤ 3
Sign changed when divide by negative numbers
(3/4) > x ≥ (-3/4)
User Diego Rafael Souza
by
8.4k points
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