Solve 1-x>-1-x/2

$$1-x > \frac{ -1-x }{ 2 }$$

Solve for x

$$x<3$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$2-2x>-1-x$$

Add x to both sides.

$$2-2x+x>-1$$

Combine -2x and x to get -x.

$$2-x>-1$$

Subtract 2 from both sides.

$$-x>-1-2$$

Subtract 2 from -1 to get -3.

$$-x>-3$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x<\frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$x<3$$