Operations on Sets

Front

What is the definition of a set?

Back

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

Front

What does the symbol ∪ represent in set theory?

Back

The symbol ∪ represents the union of two sets, which includes all elements from both sets without duplicates.

Front

What does the symbol ∩ represent in set theory?

Back

The symbol ∩ represents the intersection of two sets, which includes only the elements that are common to both sets.

Front

What is the difference between union and intersection of sets?

Back

Union combines all elements from both sets, while intersection includes only the elements that are present in both sets.

Front

What is the complement of a set A?

Back

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

Front

What is the difference of two sets A and B?

Back

The difference of two sets A and B, denoted A - B, includes all elements that are in A but not in B.

Front

What is a subset?

Back

A subset is a set where all elements are also contained in another set.

Front

What is the power set of a set A?

Back

The power set of a set A is the set of all possible subsets of A, including the empty set and A itself.

Front

How do you denote the empty set?

Back

The empty set is denoted by the symbol ∅.

Front

What is a disjoint set?

Back

Disjoint sets are sets that have no elements in common.