Exploring Set Theory Concepts

What is the set notation for the set of all even numbers?

• { x ∈ ℤ | x = 2n, n ∈ ℤ }

• { x ∈ ℤ | x = 3n, n ∈ ℤ }

• { x ∈ ℤ | x = 2n + 1, n ∈ ℤ }

• { x ∈ ℤ | x = n^2, n ∈ ℤ }

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

• {1, 4}

• {2, 4}

• {2, 3}

• {1, 2, 3, 4}

Determine if {1, 2} is a subset of {1, 2, 3, 4}.

• {1, 2} is not a subset of {1, 2, 3, 4}

• {1, 2} is a subset of {3, 4}

• {1, 2} is equal to {1, 2, 3, 4}

• Yes

What is the union of the sets A = {a, b} and B = {b, c}?

• {a, b, c, d}

• {a, b, c}

• {b}

• {a, c}

In a Venn diagram, what does the overlapping area represent?

• The total number of sets.

• The common elements of the sets.

• The area outside the sets.

• The unique elements of each set.

If A = {x | x is a prime number less than 10}, list the elements of A.

• [1, 4, 6, 8]

• [2, 3, 5, 9]

• [2, 3, 5, 7]

• [2, 3, 5, 7, 11]

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

• {2, 3}

• {3, 4, 5}

• {1, 2}

• {4, 5}

How would you represent the set of all natural numbers using set notation?

• N = {0, 1, 2, ...}

• N = {1, 2, 3, 4, 5}

• N = {1, 2, 3, ...}

• N = {1, 2, 3, 4, 5, 6, ...}

If C = {2, 4, 6} and D = {1, 2, 3, 4}, what is C ∪ D?

• {1, 3, 4, 6}

• {1, 2, 3}

• {2, 4}

• {1, 2, 3, 4, 6}

In a Venn diagram with two sets, how many regions are there if both sets overlap?

• 1

• 2

• 4

• 3