Chapter 11.7, Problem 86PE

For Exercises 86-88,

a. Shade the area bounded by the given inequalities on a coordinate grid showing $-5\le x\le 5$ and $-5\le y\le 5$ .

b. Suppose that an enthusiastic mathematics student makes a square dart board out of the portion of the rectangular coordinate system defined by $-5\le x\le 5$ and $-5\le y\le 5$ . Find the probability that a dart thrown at the target will land in the shaded region.

$y\ge \left|x\right|\text{ and }y\le 4$