Exploring Cardinality in Set Theory

What is the cardinality of the set {1, 2, 3}?

• 2

• 4

• 3

• 5

Determine the cardinality of the set {a, b, c, d, e}.

• 6

• 3

• 5

• 4

If A = {x | x is an even number less than 10}, what is |A|?

• 5

• 3

• 6

• 4

Find the cardinality of the empty set {}.

• -1

• 0

• null

• 1

How many elements are in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}?

• 12

• 5

• 10

• 8

If B = {2, 4, 6, 8, 10} and C = {1, 2, 3}, what is |B ∪ C|?

• 5

• 6

• 8

• 7

What is the cardinality of the set of all natural numbers?

• ℵ₁

• ℵ₂

• ℵ₀

• ∞

If D = {x | x is a prime number less than 20}, what is |D|?

• 10

• 5

• 6

• 8

How many subsets does the set {a, b, c} have?

• 8

• 4

• 10

• 6

If E = {1, 2, 3} and F = {3, 4, 5}, what is |E ∩ F|?

• 1

• 3

• 2

• 4