Which of the following inequalities corresponds to the range 1 < x < 5?

Answer Choices

Correct answer marked below

|x – 3| < 2

Correct

|x – 4| < 1

|x + 2| < 4

|x – 1| < 4

None of the above

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Official Explanation

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To determine which inequality matches the range 1 < x < 5, we can use the property that |x| < a implies -a < x < a. The lower limit of x is -a and the upper limit is a, which together sum to 0. For the inequality 1 < x < 5, we can…

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Comments

BryanJul 20, 2024

thanks for posting

JacobAug 16, 2024

thanksss

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.