For the given sets A= { 10, 0, 1, 9, 2, 4, 5} and B= { -1, -2, 5, 6, 2, 3, 4}, verify that set union is commutative. Also verify it by using Venn diagram.

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Solution

Now, $A \cup B$ $=$ { -10, 0, 1, 9, 2, 4, 5} U $=$ { 1, 2, 5, 6, 2, 3, 4} $ =$ { -10, -2, -1,0, 1, 2, 3, 4, 5, 6, 9} .....(1)
Also, B∪A.
By Venn diagram, we have
Hence, it is verified that set union is commutative.

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