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UNION OF SETS:

Let A be a set and B be another set. Then the union of A and B is the set of elements, which are present in set A, or in set B, or in both the sets.

The union of set A and set B is represented by A B and is read as "A union B".

In Builder method,
A B = {x: x A or x B}

The Venn diagram to explain A B is given below:
Union of Sets Online Tutoring / Homework Help
A
Union of Sets Online Tutoring / Homework Help
B
Union of Sets Online Tutoring / Homework Help
A S B


For example:

If A = {1, 2, 3, 4} and B = {4, 5, 6, 7}
Then
A B = {1, 2, 3, 4, 5, 6, 7}

The Venn diagram for the above example is:

Union of Sets Online Tutoring / Homework Help
A S B


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