Q. Given:Set A=1,3,4,5,7,9,11Set B=1,2,3,6,8,9What is the union of sets A and B?{1,2,3,4,5,6,8}{1,3,9}{1,2,3,4,5,6,7,8,9,11}{4,5,7,11}
Define Union of Sets: Define the concept of union of two sets.The union of two sets A and B, denoted by A∪B, is the set of elements that are in A, or in B, or in both. To find the union, list all the distinct elements from both sets without repetition.
List Elements of Set A: List all the elements of set A.A={1,3,4,5,7,9,11}
List Elements of Set B: List all the elements of set B.B={1,2,3,6,8,9}
Combine Unique Elements: Combine all the unique elements from sets A and B.UnionA∪B={1,2,3,4,5,6,7,8,9,11}
Check for Repeated Elements: Check for any repeated elements and remove them if any.There are no repeated elements in the union since we have listed each element only once.
Write Final Answer: Write the final answer.The union of sets A and B is \{1, 2, 3, 4, 5, 6, 7, 8, 9, 11\}.
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