# How do you solve a - b >= 6?

Jun 25, 2015

Solve for $a$ to get $a \ge 6 + b$.

Solve for $b$ to get $b \le a - 6$.

#### Explanation:

$a - b \ge 6$

Solve for $a$.

Add $b$ to both sides of the inequality.

$a \ge 6 + b$

Solve for $b$.

$a - b \ge 6$

Subtract $a$ from both sides.

$- b \ge 6 - a$

Multiply both sides by $- 1$.

$b \le a - 6$