alleryWhat does it mean that the integers are countably infinite?
AThey have a greatest member
BThere are only finitely many of them
CEach pairs with a unique natural number
DThey cannot be paired with naturals
Answer & Solution
Correct answer: C. Each pairs with a unique natural number
1. Countably infinite means a one-to-one pairing with natural numbers exists.
2. An example pairing is (0, 1), (1, 2), (-1, 3), (2, 4) and so on.
3. The integers go on forever, so they have no greatest member.
_Source: Wikipedia, Integer, Cardinality_
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