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50x+40000-80x<34000
Use the distributive property to multiply 80 by 500-x.
-30x+40000<34000
Combine 50x and -80x to get -30x.
-30x<34000-40000
Subtract 40000 from both sides.
-30x<-6000
Subtract 40000 from 34000 to get -6000.
x>\frac{-6000}{-30}
Divide both sides by -30. Since -30 is negative, the inequality direction is changed.
x>200
Divide -6000 by -30 to get 200.