Free Practice Question
PS · Problem Solving
555-605
Inequalities
Given that -5 < x < 8 and -7 < y < 4, which of the following describes all the potential values of xy?
Answer Choices
Correct answer marked belowA
-40 < xy < 32
-56 < xy < 35
Correct
C
-56 < xy < 32
D
-35 < xy < 32
E
-35 < xy < 56
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Explanation
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Official Explanation
Official
We have -5 < x < 8 and -7 < y < 4. To find the extremes of xy, we consider both positive and negative products. The…
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Comments
2
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T
ThitipongJan 31, 2025
how much time should this take to solve?
R
RajMar 9, 2025
appreciated!
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.
Details
Difficulty
555-605
Type
PS
Category