Find the Union of the Sets A=(1,2,3) , B=(1,2,3)

Problem

A={1,2,3},B={1,2,3}

Solution

1. Identify the definition of the union of two sets, which is the set of all elements that are in A in B or in both.

2. List all elements from both sets, noting that A and B contain the exact same elements: 1 2 and 3

3. Apply the rule of sets that duplicate elements are only listed once in the resulting set.

4. Combine the elements to form the union A∪B

Final Answer

A∪B={1,2,3}

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