Solve the Inequality for x 2/3x-5<11

$\frac{2}{3} x - 5 < 11$

Combine $\frac{2}{3}$ and $x$ .

$\frac{2 x}{3} - 5 < 11$

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

Add $5$ to both sides of the inequality.

$\frac{2 x}{3} < 11 + 5$

Add $11$ and $5$ .

$\frac{2 x}{3} < 16$

Multiply both sides by $3$ .

$\frac{2 x}{3} \cdot 3 < 16 \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2 x}{3} \cdot 3 < 16 \cdot 3$

Rewrite the expression.

$2 x < 16 \cdot 3$

Simplify the right side.

Multiply $16$ by $3$ .

$2 x < 48$

Divide each term in $2 x < 48$ by $2$ and simplify.

Divide each term in $2 x < 48$ by $2$ .

$\frac{2 x}{2} < \frac{48}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{48}{2}$

Divide $x$ by $1$ .

$x < \frac{48}{2}$

Simplify the right side.

Divide $48$ by $2$ .

$x < 24$

The result can be shown in multiple forms.

Inequality Form:

$x < 24$

Interval Notation:

$(- \infty, 24)$