This is the PowerPoint lesson I used for my Algebra 2 class to teach absolute value equations and inequalities. It corresponds to Section 1.5 of the Prentice Hall textbook California Algebra 2. The lesson contains a video that explains solving absolute value inequalities.
Bonus: I've also included a worksheet (a copy in Word and a pdf copy) that goes with this section. We begin teaching before all the students have their textbooks, so I use this worksheet.
CA COMMON CORE STANDARD A-REI
Solve equations and inequalities in one variable.
3.1 Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context
CA Algebra 1
3.0 Students solve equations and inequalities involving absolute values.
CA Algebra 2
1.0 Students solve equations and inequalities involving absolute value.
Note: Math Type 5.0 was used