Is `x gty`
(A) `x^(5)=y`
(B) `x lt0`
(C ) `|y| gt|x|`

Options

A. Either A and B or B and C are sufficient to answer the question
B. Either A and B or A and C are sufficient to answer the question
C. Either A and C or B and C are sufficient to answer the question
D. Only A and B are sufficient to answer the question

Explanation

To determine whether \( x > y \), we will analyze each statement provided.

### Step-by-Step Solution:

1. **Evaluate Statement A: \( x^5 = y \)**

- If \( x > 0 \), then \( x^5 > x \) because raising a positive number to a power greater than 1 results in a larger number. Thus, \( y = x^5 > x \), which implies \( x < y \).
- If \( x < 0 \), then \( x^5 < x \) (since raising a negative number to an odd power results in a more negative number). Thus, \( y = x^5 < x \), which implies \( x > y \).
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