Solve 2x-1>-x-1/2

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

Solve for x

$$x>\frac{1}{6}$$

Solution Steps

Add x to both sides.

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

Combine 2x and x to get 3x.

$$3x-1>-\frac{1}{2}$$

Add 1 to both sides.

$$3x>-\frac{1}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$3x>-\frac{1}{2}+\frac{2}{2}$$

Since -\frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$3x>\frac{-1+2}{2}$$

Add -1 and 2 to get 1.

$$3x>\frac{1}{2}$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x>\frac{\frac{1}{2}}{3}$$

Express \frac{\frac{1}{2}}{3} as a single fraction.

$$x>\frac{1}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x>\frac{1}{6}$$