Introduction to Sets

What is the symbol used to represent a set?

• ||

• <>

• []

• { }

Define a set in your own words.

• A set is a collection of identical elements.

• A set is a collection of distinct elements with no specific order.

• A set is a group of related items.

• A set is a sequence of elements with a specific order.

Express the set of even numbers less than 10 using set notation.

• {2, 4, 6, 8}

• {1, 3, 5, 7}

• {0, 2, 4, 6, 8}

• {2, 4, 6, 8, 10}

What does the empty set symbol (∅) represent?

• A set with no elements

• A set with infinite elements

• A set with one element

• A set with multiple elements

Explain the difference between a subset and a proper subset.

• A subset is a mathematical term, while a proper subset is a computer science term

• The main difference between a subset and a proper subset is that a subset can be equal to the original set, whereas a proper subset cannot be equal to the original set.

• A subset is always smaller than the original set, while a proper subset can be larger

• A subset can contain elements not in the original set, but a proper subset cannot

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?

• {1, 2}

• {3}

• {1, 3, 4}

• {4, 5}

What is the cardinality of the set {apple, banana, cherry}?

• 10

• 5

• 1

• 3

What is the complement of a set?

• The complement of a set is the set of all elements in the universal set.

• The complement of a set is the empty set.

• The complement of a set is the set of all elements in the universal set that are not in the given set.

• The complement of a set is the set of all elements in the given set.

If A = {a, b, c} and B = {b, c, d}, what is A ∪ B?

• {a, b, c, d, e}

• {a, b, c, d}

• {a, b, d}

• {a, c, d}

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A - B?

• {1, 2}

• {5, 6}

• {1, 2, 3}

• {3, 4}