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-x+6>\frac{21}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
-x+6>7
Divide 21 by 3 to get 7.
-x>7-6
Subtract 6 from both sides.
-x>1
Subtract 6 from 7 to get 1.
x<-1
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.