Solve the Inequality for x 3x-4>2

$3 x - 4 > 2$

Step 1

Move all terms not containing $x$ to the right side of the inequality.

Add $4$ to both sides of the inequality.

$3 x > 2 + 4$

Add $2$ and $4$ .

$3 x > 6$

Step 2

Divide each term in $3 x > 6$ by $3$ and simplify.

Divide each term in $3 x > 6$ by $3$ .

$\frac{3 x}{3} > \frac{6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} > \frac{6}{3}$

Divide $x$ by $1$ .

$x > \frac{6}{3}$

Simplify the right side.

Divide $6$ by $3$ .

$x > 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 2$

Interval Notation:

$(2, \infty)$