Unions, Intersections and Compliments of Sets.

Front

What is a set?

Back

A set is a collection of distinct objects, considered as an object in its own right. For example, Set A = {1, 2, 3}.

Front

What does the symbol ‘∪’ represent in set theory?

Back

The symbol ‘∪’ represents the union of two sets, which is the set of all elements that are in either set.

Front

What does the symbol ‘∩’ represent in set theory?

Back

The symbol ‘∩’ represents the intersection of two sets, which is the set of all elements that are common to both sets.

Front

What is the complement of a set?

Back

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

Front

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

Back

A ∪ B = {1, 2, 3, 4}.

Front

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

Back

A ∩ B = {2, 3}.

Front

What is the difference between two sets A and B?

Back

The difference A - B is the set of elements that are in A but not in B.

Front

If A = {a, b, c} and B = {b, c, d}, what is A - B?

Back

A - B = {a}.

Front

What is the power set of a set?

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

If A = {1, 2}, what is the power set of A?

Back

The power set of A = { {}, {1}, {2}, {1, 2} }.