Free Practice Question
PS · Problem Solving
605-655
Inequalities
Given that x < y < -2, which of the following inequalities must hold true?
Answer Choices
Correct answer marked belowA
y + 2 < x
B
y - 2 < x
C
(xy)^2 < x
xy > y^2
Correct
E
xy > x^2
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Explanation
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Official Explanation
Official
Since x and y are both negative and y is less than -2, we can analyze the inequalities. For option D, we have xy < y^2. Since…
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Comments
3
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H
HuanApr 4, 2025
Thank you very much!
G
GregoryFeb 25, 2025
thanks!
S
SAKSHAMOct 14, 2024
Amazing
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
605-655
Type
PS
Category