This document discusses absolute value inequalities and their graphs. It introduces the graphs of y=|x| and y=|x|+5, then asks what the graph of y=|x+5| would look like. It shows how to solve the inequality x-2<5 graphically and algebraically, and provides an example of solving the inequality x+1<3/2 algebraically as well. Finally, it lists practice questions 6 through 12 as an exercise.