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-\frac{1}{2}x>9-2
Subtract 2 from both sides.
-\frac{1}{2}x>7
Subtract 2 from 9 to get 7.
x<7\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}. Since -\frac{1}{2} is negative, the inequality direction is changed.
x<-14
Multiply 7 and -2 to get -14.