Solve the Inequality for x 2x-1>0

$2 x - 1 > 0$

Step 1

Add $1$ to both sides of the inequality.

$2 x > 1$

Step 2

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

Divide each term in $2 x > 1$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Step 3

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

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