Find the Union of the Sets {1,3,3,3,5,5,5,5} , {5,3}

Problem

{1,3,3,3,5,5,5,5}∪{5,3}

Solution

1. Identify the elements in the first set. The set {1,3,3,3,5,5,5,5} contains the distinct elements 1 3 and 5

2. Identify the elements in the second set. The set {5,3} contains the distinct elements 3 and 5

3. Apply the definition of the union of two sets. The union A∪B is the set of all elements that are in A in B or in both.

4. List the distinct elements found in either set. The distinct elements are 1 3 and 5

5. Construct the resulting set. Since sets do not contain duplicate elements in standard notation, we list each distinct element once.

Final Answer

{1,3,3,3,5,5,5,5}∪{5,3}={1,3,5}

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