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If A is the set of all even numbers and B is the set of all odd numbers, what is A ∩ B?

  • A.The set of all natural numbers
  • B.{0}
  • C.The empty set (∅)
  • D.The set of all prime numbers

Answer: C

An even number is an integer that is exactly divisible by 2. An odd number is an integer that is not.

By definition, a number cannot be both even and odd at the same time.

Therefore, the two sets have no elements in common, and their intersection is the empty set (∅).

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