Set Theory and Data Collection Quiz

Which of the following is the correct notation for the set of all integers greater than 0 and less than or equal to 10?

• {1, 2, 3, ..., 10}

• {1, 2, 3, ..., 9}

• {1, 2, 3, 10}

• {0, 1, 2, ..., 9}

What does the symbol ∈ represent in set theory?

• Subset of

• Belongs to

• Union of

• Intersection of

If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, what is A ∩ B (the intersection of A and B)?

• {1, 2}

• {4, 6}

• {2, 4}

• {1, 3}

Which operation combines all the elements of two sets, removing duplicates?

• Intersection

• Union

• Difference

• Complement

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B (the union of A and B)?

• {1, 2, 3, 4, 5, 6}

• {3, 4}

• {1, 2, 3}

• {5, 6}

What is the complement of the set A = {1, 2, 3} in the universal set U = {1, 2, 3, 4, 5}?

• {4, 5}

• {1, 2, 3}

• {3, 4}

• {}

Which of the following sets is the power set of A = {a, b}?

• {{a}, {b}}

• {{a, b}, {} }

• {a, b, {a}, {b}}

• {∅, {a}, {b}, {a, b}}

Which of the following represents the difference of sets A and B, written A - B?

• Elements in A but not in B

• Elements in both A and B

• Elements in A and B

• Elements in neither A nor B

If A = {1, 2, 3, 4} and B = {2, 3, 4, 5}, what is A ⊆ B (Is A a subset of B)?

• Yes

• No

What is the cardinality of the set A = {apple, orange, banana}?

• 1

• 2

• 3

• 4