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Which pairs of consecutive even positive integers, each greater than 5, have a sum less than 23?

1. (4, 6), (6, 8), (8, 10), (10, 12)
2. (6, 8), (8, 10), (10, 12)
3. (6, 8), (8, 10), (10, 12), (12, 14)
4. (8, 10), (10, 12)

Correct answer: (6, 8), (8, 10), (10, 12)

Solution

The correct option includes pairs of consecutive even integers starting from 6, where each pair's sum is less than 23. The pairs (6, 8), (8, 10), and (10, 12) all meet the criteria, while the other options either include integers less than 6 or exceed the sum limit.

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