Solve the Inequality for h 2/3h>14

$\frac{2}{3} h > 14$

Multiply each term in $\frac{2}{3} h > 14$ by $\frac{3}{2}$ .

$\frac{2}{3} h \frac{3}{2} > 14 (\frac{3}{2})$

Simplify the left side.

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

$\frac{2 h}{3} \cdot \frac{3}{2} > 14 (\frac{3}{2})$

Cancel the common factor of $2$ .

Factor $2$ out of $2 h$ .

$\frac{2 (h)}{3} \cdot \frac{3}{2} > 14 (\frac{3}{2})$

Cancel the common factor.

$\frac{2 h}{3} \cdot \frac{3}{2} > 14 (\frac{3}{2})$

Rewrite the expression.

$\frac{h}{3} \cdot 3 > 14 (\frac{3}{2})$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{h}{3} \cdot 3 > 14 (\frac{3}{2})$

Rewrite the expression.

$h > 14 (\frac{3}{2})$

Simplify the right side.

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

$h > 2 (7) \frac{3}{2}$

Cancel the common factor.

$h > 2 \cdot 7 \frac{3}{2}$

Rewrite the expression.

$h > 7 \cdot 3$

Multiply $7$ by $3$ .

$h > 21$

The result can be shown in multiple forms.

Inequality Form:

$h > 21$

Interval Notation:

$(21, \infty)$