10
QuizMultiple Choice

Relationships Between Quantities — Test

Question 10 • Algebra II

What is the solution to the inequality start absolute value 2 n plus 5 end absolute value is greater than 1 ?

Answer
A
2 is less than n comma n is less than 3
B
negative 3 is greater than n comma n is greater than negative 2
C
n is less than negative 3 or n is greater than negative 2
D
n is less than 2 or n is greater than 3

Explanation

For an absolute value to be greater than 1, its expression must be greater than 1 or less than −1. Solving 2n + 5 > 1 gives n > −2, and solving 2n + 5 < −1 gives n < −3. Therefore, the solution is n < −3 or n > −2, which is choice C.

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