PSAT Math Multiple-Choice Question 721: Answer and Explanation
Question: 721
If x2 > y2 which statement must be correct?
- A. x > y
- B. x < y
- C. x ≠ y
- D. x3 > y3
Correct Answer: C
Explanation:
(C) x and y could both be either negative or positive to make this true. Therefore, the only thing you can safely assume is that x and y are different. You can try this with sample values that make this expression true:
x | y | x2 > y2 |
-5 | 4 | 25 > 16 |
6 | -1 | 36 > 1 |
3 | 0 | 9 > 0 |
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