Solve the Inequality for x 2x-1>=0

$2 x - 1 \geq 0$

Add $1$ to both sides of the inequality.

$2 x \geq 1$

Divide each term in $2 x \geq 1$ by $2$ and simplify.

Divide each term in $2 x \geq 1$ by $2$ .

$\frac{2 x}{2} \geq \frac{1}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \geq \frac{1}{2}$

Divide $x$ by $1$ .

$x \geq \frac{1}{2}$

The result can be shown in multiple forms.

Inequality Form:

$x \geq \frac{1}{2}$

Interval Notation:

$[\frac{1}{2}, \infty)$