The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

The critical points x = −4 and x = 2 divide the number line into three intervals: x < −4, −4 < x < 2, and x > 2. To determine where the inequality holds, test one point from each interval. The values −5, 0, and 3 are valid test points, so the correct choice is the set x = −5, x = 0, and x = 3.

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