8
QuizMultiple Choice

Rational Inequalities — Quiz

Question 8 • Algebra II

The critical points of a rational inequality are x is equal to negative 4 and x is equal to 2 Which set of points can be tested to find a complete solution to the inequality?

Answer
A
x is equal to negative 4 , x is equal to 0 , and x is equal to 2
B
x is equal to negative 4 and x is equal to 2
C
x is equal to negative 5 and x is equal to 3
D
x is equal to negative 5 , x is equal to 0 , and x is equal to 3

Explanation

The critical points −4 and 2 divide the number line into three intervals: x < −4, −4 < x < 2, and x > 2. To find where the rational inequality is true, test one point inside each interval. The values −5, 0, and 3 do that, so the correct choice is D, x = −5, x = 0, and x = 3.

AI-written and checked against the verified answer.

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