Solve the Inequality for h 8h-2>3h+2

$8 h - 2 > 3 h + 2$

Move all terms containing $h$ to the left side of the inequality.

Subtract $3 h$ from both sides of the inequality.

$8 h - 2 - 3 h > 2$

Subtract $3 h$ from $8 h$ .

$5 h - 2 > 2$

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

Add $2$ to both sides of the inequality.

$5 h > 2 + 2$

Add $2$ and $2$ .

$5 h > 4$

Divide each term in $5 h > 4$ by $5$ and simplify.

Divide each term in $5 h > 4$ by $5$ .

$\frac{5 h}{5} > \frac{4}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 h}{5} > \frac{4}{5}$

Divide $h$ by $1$ .

$h > \frac{4}{5}$

The result can be shown in multiple forms.

Inequality Form:

$h > \frac{4}{5}$

Interval Notation:

$(\frac{4}{5}, \infty)$