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8 November, 21:59

If 3∈A and 3B, then which of the following statements is not true?

A. 3 is an element of B complement.

B. 3 is an element of A∪B.

C. 3 is an element of A∩B.

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Answers (1)
  1. 8 November, 22:50
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    This is how to answer the question:

    If 3∉B it follows that 3∈B'; the complement is everything * not * in B. Our first statement is true.

    Since 3∈A it follows that 3∈A∪B, since A⊆A∪B and therefore everything in A is also in A∪B. Statement 2 is also true.

    Now, since A and B do not have 3 in common, it follows that 3∉A∩B. Hence statement 3 is not true.
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