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Which of the following is an empty set?

  • A.{x : x is a real number and x² = 9}
  • B.{x : x is an even prime number}
  • C.{x : x is a month with 32 days}
  • D.{0}

Answer: C

An empty set, or null set, is a set containing no elements.

A) {x : x² = 9} = {-3, 3}. Not empty.

B) {x : x is an even prime number} = {2}. Not empty (it's a singleton set).

C) {x : x is a month with 32 days}. No month has 32 days. This set is empty.

D) {0}. This is a singleton set containing the element 0. It is not empty.

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