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

Sagot :

     -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).