Solve 5(2h-6)-7(h+7)>4h

$$5 ( 2 h - 6 ) - 7 ( h + 7 ) > 4 h$$

Solve for h

$$h<-79$$

Solution Steps

Use the distributive property to multiply 5 by 2h-6.

$$10h-30-7\left(h+7\right)>4h$$

Use the distributive property to multiply -7 by h+7.

$$10h-30-7h-49>4h$$

Combine 10h and -7h to get 3h.

$$3h-30-49>4h$$

Subtract 49 from -30 to get -79.

$$3h-79>4h$$

Subtract 4h from both sides.

$$3h-79-4h>0$$

Combine 3h and -4h to get -h.

$$-h-79>0$$

Add 79 to both sides. Anything plus zero gives itself.

$$-h>79$$

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

$$h<-79$$