# How do you solve 3>2b-13?

Jan 11, 2016

$b < 8$

#### Explanation:

Treat the inequality sign as if it were an equals sign.

Add $13$ to both sides.

$3 + 13 > 2 b - 13 + 13$

$16 > 2 b$

Divide both sides by $2$.

$\frac{16}{2} > \frac{2 b}{2}$

$8 > b$

This can be reversed and the inequality sign "flipped" to read more intuitively:

$b < 8$