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20-x<6\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}. Since \frac{1}{4} is positive, the inequality direction remains the same.
20-x<24
Multiply 6 and 4 to get 24.
-x<24-20
Subtract 20 from both sides.
-x<4
Subtract 20 from 24 to get 4.
x>-4
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.