# How do you solve -5.94-18.5h+16.26< -4(8.7h-2.88)+18.3h?

Dec 15, 2016

$h > - 0.6$

#### Explanation:

Solve: $- 5.94 - 18.5 h + 16.26 < - 4 \left(8.7 h - 2.88\right) + 18.3 h$

Simplify the left side.

$- 18.5 h + 10.32 < - 4 \left(8.7 h - 2.88\right) + 18.3 h$

Expand the right side using the distributive property: $a \left(b + c\right) = a b + a c$.

$- 18.5 h + 10.32 < - 34.8 h + 11.52 + 18.3 h$

Simplify the right side.

$- 18.5 h + 10.32 < - 16.5 h + 11.52$

Add $16.5 h$ to both sides.

$- 2 h + 10.32 < 11.52$

Subtract $10.32$ from both sides.

$- 2 h < 1.2$

Divide both sides by $- 2$.

$h > \frac{1.2}{- 2}$

Simplify.

$h > - 0.6$