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60x+1000-100x\geq 680
Use the distributive property to multiply 100 by 10-x.
-40x+1000\geq 680
Combine 60x and -100x to get -40x.
-40x\geq 680-1000
Subtract 1000 from both sides.
-40x\geq -320
Subtract 1000 from 680 to get -320.
x\leq \frac{-320}{-40}
Divide both sides by -40. Since -40 is negative, the inequality direction is changed.
x\leq 8
Divide -320 by -40 to get 8.