Solve x+1geq2x-1

$$x + 1 \geq 2 x - 1$$

Solve for x

$$x\leq 2$$

Solution Steps

Subtract 2x from both sides.

$$x+1-2x\geq -1$$

Combine x and -2x to get -x.

$$-x+1\geq -1$$

Subtract 1 from both sides.

$$-x\geq -1-1$$

Subtract 1 from -1 to get -2.

$$-x\geq -2$$

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

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

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

$$x\leq 2$$