Exercise 129 Page 512

To solve the given system by graphing, we should first draw each inequality separately. Then we will combine the graphs. The overlapping region will be the solution set. Let's start!

Inequality I

To determine the boundary line of the first inequality, we need to exchange the inequality symbol for an equals sign. The graph of this boundary line is the graph of the parent function $y=|x|$ translated right $2$ units, reflected in the $x\text{-}$axis, and translated up $3$ units. The boundary line will be dashed because the inequality is strict.