6
QuizMultiple Choice

Rational Inequalities — Quiz

Question 6 • Algebra II

The critical points of a rational inequality are negative 1 , 3 , and 4 Which set of points can be tested to find a complete solution to the inequality?

Answer
A
x is equal to negative 1 , x is equal to 3 , and x is equal to 4
B
x is equal to negative 3 , x is equal to 1 , x is equal to 3 point 5 , and x is equal to 5
C
x is equal to negative 2 , x is equal to 2 , and x is equal to 5
D
x is equal to 1 and x is equal to 3 point 5

Explanation

The critical points −1, 3, and 4 divide the number line into four intervals: (−∞, −1), (−1, 3), (3, 4), and (4, ∞). To determine the inequality’s sign throughout, test one point in each interval. Choice B gives −3, 1, 3.5, and 5, with one point in each interval.

AI-written and checked against the verified answer.

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