Find the Union of the Sets A=(1,2,3,4) , B=(2,3,0)

Problem

A={1,2,3,4},B={2,3,0}

Solution

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

2. List all elements from both sets: 1, 2, 3, 4, 2, 3, 0$.

3. Remove any duplicate elements to ensure each member of the resulting set is unique. The duplicates are 2 and 3

4. Arrange the unique elements in numerical order for clarity: 0, 1, 2, 3, 4$.

Final Answer

A∪B={0,1,2,3,4}

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