Understanding Sets and Cardinality

What is the cardinality of the set {1, 2, 3, 4, 5}?

• 5

• 10

• 6

• 4

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

• 4

• 5

• 6

• 3

Determine the cardinality of the empty set.

• 1

• infinity

• 0

• -1

If B = {a, b, c} and C = {1, 2, 3}, what is the cardinality of the union of sets B and C?

• 4

• 3

• 6

• 5

How does the cardinality of a finite set differ from that of an infinite set?

• Finite sets can have an infinite number of elements.

• Finite sets have a specific, countable number of elements, while infinite sets have no finite limit on the number of elements.

• Infinite sets are always larger than finite sets.

• Finite sets can be uncountable in size.

If D = {1, 2, 3} and E = {3, 4, 5}, what is the cardinality of the intersection of sets D and E?

• 4

• 1

• 3

• 2

What is the cardinality of the power set of a set with 3 elements?

• 10

• 6

• 4

• 8

Explain why the cardinality of the set of natural numbers is infinite.

• The cardinality of the set of natural numbers is infinite.

• There are only a limited number of natural numbers.

• The cardinality of natural numbers is equal to the cardinality of integers.

• The set of natural numbers is finite.

If F = {x | x is a prime number less than 20}, what is the cardinality of set F?

• 6

• 10

• 5

• 8

How do you find the cardinality of the Cartesian product of two sets?

• |A × B| = |A| / |B|

• |A × B| = |A| + |B|

• |A × B| = |A| * |B|

• |A × B| = |A| - |B|