Set operations & Set Difference

Test of Knowledge

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Question 1

For sets A and B, if A Δ B = (A ∪ B) − (A ∩ B), what does A Δ B represent?

  • Symmetric difference

  • Difference

  • Intersection

  • Union

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Question 2

If A = {x: x2<4} and B = {x:x2 > 1}, then A - B is:

  • {x: −1 < x <1}

  • {x: −2 < x <−1 or 1 < x < 2}

  • ∅

  • {x: −1 < x < 1}∖{−1, 1}

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Question 3

The set difference (A − B) − C is equivalent to:

  • A − (B ∪ C)

  • A − (B ∩ C)

  • (A − C) ∩ B

  • (A ∩ C) − B

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Question 4

What is the difference between the sets A = { 2,4,6,8} and B = { 4,6,10}?

  • {2,8}

  • {2,4}

  • {4,6}

  • {8,10}

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Question 5

Let A = {1,2,3,4} and B = {3,4,5,6}. What is A ∪ B?

  • {1,2,3,4}

  • {3,4,5,6}

  • {1,2,3,4,5,6}

  • {3,4}

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Question 6

Let A = {1,2,3,4} and B = {3,4,5,6}. What is A ∩ B?

  • {1,2}

  • {3,4}

  • {5,6}

  • {1,2,3,4,5.6}

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Question 7

If A = {x|x ∈ N and (x2 − 4)(x2 − 5) = 0} and B = {x|x ∈ l+ and x(x − 1)(x − 2) = 0} then (A ∪ B) - (A ∩ B) is

  • {1, 2}

  • {1}

  • {2}

  • 𝜙

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Question 8

Given A = { 1,2,3} and B = {3,4,5}, which of the following is true?


  • A ⊆ B

  • A ⊂ B

  • B ⊆ A

  • A ∪ B = B

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Question 9

Which of the following is the correct condition for two sets to be disjoint?

  • The sets must have at least one common element.

  • The sets must have no elements in common.

  • One set must be a subset of the other.

  • The set must have the same number of elements

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Question 10

If A = { 3,6,9,12} and B = { 1,3,6,8}, what is A ∪ ( A - B ) ?

  • {1,3,6,8,9,12}

  • {1,3,6,8}

  • {1,3,6}

  • {9,12}

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There are 10 questions to complete.

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