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Solve and graph: -2(x-5)>(3x-2)

1 Answer

4 votes
-2(x - 5) > 3x - 2
-2(x) + 2(5) > 3x - 2
-2x + 10 > 3x - 2
+ 2x + 2x
10 > 5x - 2
+ 2 + 2
12 > 5x
5 5
2²/₅ > x
x < 2²/₅
The solution set is equal to (-∞, 2²/₅).
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