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10x+1500-15x<1150
Use the distributive property to multiply 15 by 100-x.
-5x+1500<1150
Combine 10x and -15x to get -5x.
-5x<1150-1500
Subtract 1500 from both sides.
-5x<-350
Subtract 1500 from 1150 to get -350.
x>\frac{-350}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x>70
Divide -350 by -5 to get 70.