This video illustrates a simplified method for solving an absolute value inequality - what happens for x=3/8 is very interesting - notice that 3/8 is not included in a test interval but ends up in the solution interval! Can you figure out why this is so?
Actually, for the V-shaped absolute value graph one half is the line y=3x-1 broken at x = 0.5, and the other half is the line y=-3x+1. If you listen carefully you hear me say it incorrectly - just wanted to clear that up!