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3-\left(-x\right)-1>0
To find the opposite of -x+1, find the opposite of each term.
2-\left(-x\right)>0
Subtract 1 from 3 to get 2.
-\left(-x\right)>-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
-x<\frac{-2}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
-x<2
Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.
x>-2
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.