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4x-1-5x<8
Subtract 5x from both sides.
-x-1<8
Combine 4x and -5x to get -x.
-x<8+1
Add 1 to both sides.
-x<9
Add 8 and 1 to get 9.
x>-9
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.