In Example 4, change x² − 4 to 4 − x² and then draw the graph of the resulting inequality.

Data from Example 4

Although the graph of y = x² − 4 is not a straight line, the method of solution is the same. We graph the function y = x² − 4 as a dashed curve, since it is not part of the solution, as shown in Fig. 17.41. We then shade in the region above the curve to indicate the points that satisfy the inequality.

6 y 4 y>x - 4 -4-2 0 Fig. 17.41 I 12 4 X