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-\frac{1}{2}x+4>0
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
-\frac{1}{2}x>-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x<-4\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<8
Multiply -4 and -2 to get 8.