Intersection of Sets Quiz

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Questions and Answers

What is the result of the intersection of set A = {2, 4, 6} and set B = {3, 6, 9}?

  • {2, 4, 3, 6, 9}
  • {6}
  • {3, 9}
  • {$\emptyset$} (correct)

If A = {1, 3, 5, 7} and B = {2, 4, 6, 8}, which sets are disjoint?

  • {1, 3} and {3, 5}
  • {1, 2} and {2, 8}
  • {1, 3, 5, 7} and {2, 4, 6, 8} (correct)
  • {1, 2, 3} and {4, 5}

What is the difference between set A = {2, 4, 6} and set B = {3, 6, 9}?

  • {2, 4, 6}
  • {2, 4} (correct)
  • {3, 6}
  • {$\emptyset$}

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

<p>{2} (D)</p> Signup and view all the answers

Which statement about disjoint sets is true?

<p>Disjoint sets have no elements in common. (C)</p> Signup and view all the answers

If U is the universal set and A = {1, 2, 3}, what is the complement of A (A')?

<p>{3} (C)</p> Signup and view all the answers

What is the symmetric difference of sets A and B denoted by?

<p>A ∆ B (A)</p> Signup and view all the answers

If A = {1, 2, 3} and B = {2, 3, 4}, what is A U B?

<p>{1, 2, 3, 4} (D)</p> Signup and view all the answers

Which law states that the union distributes over intersection for sets A, B, and C?

<p>Distributive Law (D)</p> Signup and view all the answers

What does A - B represent in set theory?

<p>Elements in set A but not in set B (D)</p> Signup and view all the answers

If A = {4, 5, 6} and its complement is shown as the shaded area in a Venn diagram with U = {4, 5, 6, 7, 8}, what is U?

<p>{4, 5, 6, 7, 8} (A)</p> Signup and view all the answers

For sets A = {a, b} and B = {b, c}, which of the following represents the intersection of A and B?

<p>{b} (A)</p> Signup and view all the answers

Which term is used to describe a set B that contains every element of set A, and it is denoted by 'B ⊆ A'?

<p>Subset (D)</p> Signup and view all the answers

If A = {1, 2, 3} and B = {3, 4, 5}, which operation results in the set {3}?

<p>Intersection of A and B (C)</p> Signup and view all the answers

If A = {2, 4, 6} and B = {3, 6, 9}, how would you describe these sets in terms of intersection?

<p>Disjoint sets (D)</p> Signup and view all the answers

What is the result of the difference operation if A = {1, 2, 3, 4} and B = {3, 4, 5, 6}?

<p>{1, 2} (C)</p> Signup and view all the answers

In set theory, what does the term 'complement' refer to?

<p>Elements not in a particular set (D)</p> Signup and view all the answers

If the power set of a set A contains subsets {∅, {a}, {b}, {a, b}}, how many elements does the set A have?

<p>$2^4$ (D)</p> Signup and view all the answers

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