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If A is the set of prime numbers and B is the set of composite numbers, which statement is true?

  • A.A ∪ b is the set of natural numbers
  • B.A ∩ b = ∅
  • C.1 ∈ a
  • D.1 ∈ b

Answer: B

Prime numbers have exactly two factors (1 and itself). Composite numbers have more than two factors. By definition, a number cannot be both prime and composite. Therefore, their intersection A ∩ B is the empty set (∅).

Option A is incorrect because the number 1 is neither prime nor composite, so it would not be in the union.

Options C and D are incorrect because 1 is not considered prime or composite.

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