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x+2-4x<-1
Subtract 4x from both sides.
-3x+2<-1
Combine x and -4x to get -3x.
-3x<-1-2
Subtract 2 from both sides.
-3x<-3
Subtract 2 from -1 to get -3.
x>\frac{-3}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>1
Divide -3 by -3 to get 1.