### Union of Sets

The union of two sets A and B is the set of elements that are in A or B, or both. The Venn diagram below shows A ⋃ B.

Example

If, U = {2, 4, 6, 8, 10, 12, 14, 16}

A = {4, 6, 8, 10, 12}

B = {2, 10, 12, 14}

Then, A union B, A ⋃ B = {2, 4, 6, 8, 10, 12, 14}

Note:

(A ⋃ B)’ = {16}

And,

(A ⋃ B)’ = A’ ∩ B’

A’ ⋃ B’ = {2, 4, 6, 8, 14, 16}

And,

A’ ⋃ B’ = (A ∩ B)’