Given that $−7 ≤ x ≤ 3$ and $−5 ≤ y ≤ 12$ , what is the range of the product xy?

Correct answer marked below

-84 ≤ xy ≤ 36

Correct

-42 ≤ xy ≤ 36

-36 ≤ xy ≤ 84

-15 ≤ xy ≤ 36

-7 ≤ xy ≤ 36

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Explanation

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Official Explanation

Official

With the constraints

−7 ≤ x ≤ 3

and

−5 ≤ y ≤ 12

, we can determine the range of the product xy. The minimum value occurs at…

Comments

LuisApr 8, 2025

appreciated!

RaymondNov 12, 2024

cheers!

What this question tests

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

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