Question

How do I Solve and graph the inequality |6 – v| < 9?

Answer 1

 |6 – v| < 9 can be written as two separate inequalities:

+(6 - v) < 9, or -v < 3, or v > -3:  (-3, infinity)

-(6-v) < 9, or -6 + v < 9, or v<15:  (-infinity, 15)

These two intervals overlap:  (-3,15)