Set theory

Front

What is a set in set theory?

Back

A set is a collection of distinct objects, considered as an object in its own right.

Front

What is the union of two sets?

Back

The union of two sets A and B, denoted A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What is the intersection of two sets?

Back

The intersection of two sets A and B, denoted A ∩ B, is the set of elements that are in both A and B.

Front

What does the symbol ∅ represent?

Back

The symbol ∅ represents the empty set, which is a set that contains no elements.

Front

How do you denote the complement of a set A?

Back

The complement of a set A, denoted A', is the set of all elements not in A.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets.

Front

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?

Back

A ∩ B = {3}.

Front

If A = {x | x is an even number} and B = {x | x is a prime number}, what is A ∩ B?

Back

A ∩ B = {2}.

Front

What is the cardinality of a set?

Back

The cardinality of a set is the number of elements in the set.

Front

If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, what is A ⊆ B?

Back

True, A is a subset of B.