Set , Relation and Function

Which symbol is used to denote a set?

• {}
• []
• ()
• ||

What is the cardinality of the set {2, 4, 6}?

• 2
• 3
• 4
• 6

What does the symbol ∅ represent in set theory?

• A universal set
• An infinite set
• An empty set
• A finite set

What is the union of sets A = {1, 2} and B = {2, 3}?

• {1, 2}
• {2, 3}
• {1, 2, 3}
• {1, 3}

What is the intersection of sets A = {1, 2, 3} and B = {2, 4, 6}?

• {2}
• {1, 2, 3}
• {4, 6}
• {1, 3}

Which of the following is a subset of {1, 2, 3}?

• {1, 4}
• {2, 3}
• {4, 5}
• {1, 2, 3, 4}

What is a relation in mathematics?

• A function from one set to another
• A subset of the Cartesian product of two sets
• A set with no elements
• A collection of numbers

What is the Cartesian product of sets A = {1, 2} and B = {3, 4}?

• {(1, 3), (1, 4), (2, 3), (2, 4)}
• {(1, 2), (3, 4)}
• {1, 2, 3, 4}
• {(1, 3), (2, 4)}

In a function, each input is related to how many outputs?

• Exactly one
• At least one
• At most one
• Zero

Which of the following is an example of a function?

• y = x + 1
• y² = x
• x² + y² = 1
• y = ±√x