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-\frac{1}{4}x>21-5
Subtract 5 from both sides.
-\frac{1}{4}x>16
Subtract 5 from 21 to get 16.
x<16\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}. Since -\frac{1}{4} is negative, the inequality direction is changed.
x<-64
Multiply 16 and -4 to get -64.