Quiz on Number Systems and Set Theory

What is a set in mathematics?

• A collection of numbers

• A group of equations

• A collection of objects

• A series of operations

Which of the following is NOT a type of set?

• Universal set

• Empty set

• Infinite set

• Imaginary set

In set builder notation, what does the symbol ∈ mean?

• Is not an element of

• Is equal to

• Is a subset of

• Is an element of

What is the correct set builder notation for even numbers?

• {x | x is a multiple of 2}

• {x | x is divisible by 3}

• {x | x is a prime number}

• {x | x is greater than 0}

Which of the following sets is an empty set?

• {0}

• {∅}

• {}

• {1, 2, 3}

If U = {1, 2, 3, 4, 5, 6} and A = {2, 4, 6}, what is A' (the complement of A)?

• {1, 3, 5}

• {2, 4, 6}

• {1, 2, 3, 4, 5, 6}

• {∅}

Which of the following is true about the order of elements in a set?

• Elements must be in ascending order

• Elements must be in descending order

• The order of elements is important

• The order of elements is not important

What is the universal set?

• A set containing all possible elements under consideration

• A set containing no elements

• A set containing only prime numbers

• A set containing only even numbers

How many elements are in the set {Monday, Tuesday, Wednesday, Thursday, Friday}?

• 7

• 6

• 5

• 4

Which of the following is an example of an infinite set?

• The set of days in a week

• The set of natural numbers

• The set of planets in our solar system

• The set of seasons in a year