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36-4x+8<0
Use the distributive property to multiply -4 by x-2.
44-4x<0
Add 36 and 8 to get 44.
-4x<-44
Subtract 44 from both sides. Anything subtracted from zero gives its negation.
x>\frac{-44}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>11
Divide -44 by -4 to get 11.