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WorksheetsUnderstanding Sets and Cardinality
Total questions: 10
Worksheet time: 5mins
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|
