Solve 2h+8>3h-6

$$2 h + 8 > 3 h - 6$$

Solve for h

$$h<14$$

Solution Steps

Subtract 3h from both sides.

$$2h+8-3h>-6$$

Combine 2h and -3h to get -h.

$$-h+8>-6$$

Subtract 8 from both sides.

$$-h>-6-8$$

Subtract 8 from -6 to get -14.

$$-h>-14$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$h<\frac{-14}{-1}$$

Fraction \frac{-14}{-1} can be simplified to 14 by removing the negative sign from both the numerator and the denominator.

$$h<14$$