Given that −4 ≤ a ≤ 15 and −12 ≤ b ≤ 20, which of the following represents all possible values of a – b?

Answer Choices

Correct answer marked below

−32 ≤ a – b ≤ 27

−24 ≤ a – b ≤ 27

Correct

−16 ≤ a – b ≤ 8

6 ≤ a – b ≤ 35

6 ≤ a – b ≤ 32

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Explanation

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Official Explanation

Official

To find the range of a – b, we first determine the minimum and maximum values of a and b. The minimum value of a is −4 and the maximum value of b is 20. Thus, the minimum value of a – b is…

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Comments

RMay 7, 2024

Thank you very much!

ValerioJan 12, 2024

greatt question!

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.