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Given:
Set 
A=1,3,4,5,7,9,11
Set 
B=1,2,3,6,8,9
What 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}

Given:\newlineSet A=1,3,4,5,7,9,11 \mathrm{A}=1,3,4,5,7,9,11 \newlineSet B=1,2,3,6,8,9 B=1,2,3,6,8,9 \newlineWhat is the union of sets A and B?\newline{1,2,3,4,5,6,8} \{1,2,3,4,5,6,8\} \newline{1,3,9} \{1,3,9\} \newline{1,2,3,4,5,6,7,8,9,11} \{1,2,3,4,5,6,7,8,9,11\} \newline{4,5,7,11} \{4,5,7,11\}

Full solution

Q. Given:\newlineSet A=1,3,4,5,7,9,11 \mathrm{A}=1,3,4,5,7,9,11 \newlineSet B=1,2,3,6,8,9 B=1,2,3,6,8,9 \newlineWhat is the union of sets A and B?\newline{1,2,3,4,5,6,8} \{1,2,3,4,5,6,8\} \newline{1,3,9} \{1,3,9\} \newline{1,2,3,4,5,6,7,8,9,11} \{1,2,3,4,5,6,7,8,9,11\} \newline{4,5,7,11} \{4,5,7,11\}
  1. Define Union of Sets: Define the concept of union of two sets.\newlineThe union of two sets AA and BB, denoted by ABA \cup B, is the set of elements that are in AA, or in BB, or in both. To find the union, list all the distinct elements from both sets without repetition.
  2. List Elements of Set A: List all the elements of set AA.A={1,3,4,5,7,9,11}A = \{1, 3, 4, 5, 7, 9, 11\}
  3. List Elements of Set B: List all the elements of set B.\newlineB={1,2,3,6,8,9}B = \{1, 2, 3, 6, 8, 9\}
  4. Combine Unique Elements: Combine all the unique elements from sets AA and BB.UnionAB={1,2,3,4,5,6,7,8,9,11}Union A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 11\}
  5. Check for Repeated Elements: Check for any repeated elements and remove them if any.\newlineThere are no repeated elements in the union since we have listed each element only once.
  6. Write Final Answer: Write the final answer.\newlineThe union of sets AA and BB is \{11, 22, 33, 44, 55, 66, 77, 88, 99, 1111\}.

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