Solve for x 3x-1>0

$3 x - 1 > 0$

Step 1

Add $1$ to both sides of the inequality.

$3 x > 1$

Step 2

Divide each term in $3 x > 1$ by $3$ and simplify.

Divide each term in $3 x > 1$ by $3$ .

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Step 3

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

$(\frac{1}{3}, \infty)$