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------------------------------------------------ Which pair of numbers are not opposites?

A. \(|7|\) and -7
B. 17 and \(|-17|\)
C. 17 and -17
D. 71 and -71

Sure! Let's analyze the pairs of numbers to determine which are not opposites.

1. |7| and -7:
- The absolute value of 7 is 7.
- The second number is -7.
- These numbers are opposites because they have the same value with different signs.

2. 17 and | -17 |:
- The absolute value of -17 is 17.
- The second number is 17.
- These numbers are not opposites because they are the same number, both having a positive sign.

3. 17 and -17:
- The numbers have the same magnitude, which is 17.
- They have different signs, so they are opposites.

4. 71 and -71:
- Both numbers have the same magnitude, which is 71.
- They have different signs, making them opposites.

After analyzing these pairs, we can conclude that the pair 17 and | -17 | are not opposites as they are identical numbers with no difference in their signs.