# How do you solve -1/2t + 9 > 2 t - 5?

Dec 18, 2015

$t < \frac{28}{5}$

#### Explanation:

$- \frac{1}{2} t + 9 > 2 t - 5$

Simplify $- \frac{1}{2} t$ to $- \frac{t}{2}$.

$- \frac{t}{2} + 9 > 2 t - 5$

Multiply both sides by $2$.

$- t + 18 > 4 t - 10$

Add $t$ to both sides.

$18 > 4 t - 10 + t$

Simplify.

$18 > 5 t - 10$

Add $10$ to both sides.

$10 + 18 > 5 t$

Simplify.

#28>5t

Divide both sides by $5$.

$\frac{28}{5} > t$

Switch sides.

$t < \frac{28}{5}$