Solve the Inequality for x (2x)/3>4

$\frac{2 x}{3} > 4$

Step 1

Multiply both sides by $3$ .

$\frac{2 x}{3} \cdot 3 > 4 \cdot 3$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2 x}{3} \cdot 3 > 4 \cdot 3$

Rewrite the expression.

$2 x > 4 \cdot 3$

Simplify the right side.

Multiply $4$ by $3$ .

$2 x > 12$

Step 3

Divide each term in $2 x > 12$ by $2$ and simplify.

Divide each term in $2 x > 12$ by $2$ .

$\frac{2 x}{2} > \frac{12}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{12}{2}$

Divide $x$ by $1$ .

$x > \frac{12}{2}$

Simplify the right side.

Divide $12$ by $2$ .

$x > 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 6$

Interval Notation:

$(6, \infty)$