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9+7x<9x-2
Add 4 and 5 to get 9.
9+7x-9x<-2
Subtract 9x from both sides.
9-2x<-2
Combine 7x and -9x to get -2x.
-2x<-2-9
Subtract 9 from both sides.
-2x<-11
Subtract 9 from -2 to get -11.
x>\frac{-11}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>\frac{11}{2}
Fraction \frac{-11}{-2} can be simplified to \frac{11}{2} by removing the negative sign from both the numerator and the denominator.