Chapter 1: Sets Overview
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Questions and Answers

What is the value of n(S) + n(P) where S = {x | x is a positive multiple of 3 less than 100} and P = {x | x is a prime number less than 20}?

  • 30
  • 34
  • 31
  • 33 (correct)

    • What is X ∩ (X ∪ Y)′ equal to, where X and Y are two sets?

  • X
  • X ∩ Y
  • Y
  • φ (correct)

    • If A and B are finite sets such that A ⊂ B, then what is n(A ∪ B) equal to?

  • n(B) (correct)
  • n(A) + n(B)
  • n(B) - n(A)
  • n(A) + n(B) - n(A ∩ B)

    • What is A – B equal to, where A and B are any two sets?

    <p>The set of elements in A but not in B</p> Signup and view all the answers

    What is the power set of the set A = {1, 2}?

    <p>{{1, 2}, {1}, {2}, φ}</p> Signup and view all the answers

    What is the universal set of all the three sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}?

    <p>{0, 1, 2, 3, 4, 5, 6, 8}</p> Signup and view all the answers

    What is (B ∪ C)′ equal to, where U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}?

    <p>{1, 3, 5, 9, 10}</p> Signup and view all the answers

    What is A – (A ∩ B) equal to, for all sets A and B?

    <p>A – B</p> Signup and view all the answers

    What is ((A′ ∪ B′) – A)′ equal to, for all sets A, B and C?

    <p>A</p> Signup and view all the answers

    What is A × (B ∪ C) equal to, for all sets A, B and C?

    <p>(A × B) ∪ (A × C)</p> Signup and view all the answers

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