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80x+1000-100x>900
Use the distributive property to multiply 100 by 10-x.
-20x+1000>900
Combine 80x and -100x to get -20x.
-20x>900-1000
Subtract 1000 from both sides.
-20x>-100
Subtract 1000 from 900 to get -100.
x<\frac{-100}{-20}
Divide both sides by -20. Since -20 is negative, the inequality direction is changed.
x<5
Divide -100 by -20 to get 5.