Union of Sets

union => combining

For two given sets A and B, A∪B (read as A union B) is the set of distinct elements that belong to set A and set B or both.

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Union of Sets

Example

Consider the following sets:

Given

A = {1,2,3,4} B = {a,b,c};

Then,

A∪B = {1,2,3,4,a,b,c}

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Intersection of Sets

Intersection => common

For two given sets A and B, A∩B (read as A intersection B) is the set of common elements that belong to both set A and B.

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Intersection of Sets

Example

Consider the following sets:

Given

A = {1,2,3,4} B = {2,4,6,8};

Then,

A∩B = {2,4}

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Difference between

Sets

difference=> present in A but not in B

The set operation difference between sets implies subtracting the elements from a set which is similar to the concept of the difference between numbers. The difference between sets A and set B denoted as A − B lists all the elements that are in set A but not in set B.

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Difference between

Sets

Example

Consider the following sets:

Given

A = {1,2,3,4} B = {2,4,6,8};

Then,

A-B = {1,3}

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Complement of a Set

complement=> present in U but not in A

The complement of a set A denoted as A′ or A^c (read as A complement) is defined as the set of all the elements in the given universal set(U) that are not present in set A.

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Complement of a Set

Example

Consider the following sets:

Given

U = {1,2,3,4,5} A = {2,3};

Then,

A' = {1,4,5}

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Practice Questions

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