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Given:
Set 
A=1,2,5,6,9,10
Set 
B=3,6,7,8,11
What is the union of sets A and B?

{1,2,3,5,6,7,8,9,10,11}

{6}

{1,2,5,9,10}

{1,6,7,9,10,11}

Given:\newlineSet A=1,2,5,6,9,10 A=1,2,5,6,9,10 \newlineSet B=3,6,7,8,11 B=3,6,7,8,11 \newlineWhat is the union of sets A and B?\newline{1,2,3,5,6,7,8,9,10,11} \{1,2,3,5,6,7,8,9,10,11\} \newline{6} \{6\} \newline{1,2,5,9,10} \{1,2,5,9,10\} \newline{1,6,7,9,10,11} \{1,6,7,9,10,11\}

Full solution

Q. Given:\newlineSet A=1,2,5,6,9,10 A=1,2,5,6,9,10 \newlineSet B=3,6,7,8,11 B=3,6,7,8,11 \newlineWhat is the union of sets A and B?\newline{1,2,3,5,6,7,8,9,10,11} \{1,2,3,5,6,7,8,9,10,11\} \newline{6} \{6\} \newline{1,2,5,9,10} \{1,2,5,9,10\} \newline{1,6,7,9,10,11} \{1,6,7,9,10,11\}
  1. Identify Elements of Set A: Identify the elements of set A.\newlineSet A={1,2,5,6,9,10}A = \{1, 2, 5, 6, 9, 10\}
  2. Identify Elements of Set B: Identify the elements of set BB.B={3,6,7,8,11}B = \{3, 6, 7, 8, 11\}
  3. Combine Unique Elements: Combine all unique elements from sets AA and BB to form the union.\newlineThe union of sets AA and BB, denoted as ABA \cup B, includes every element that is in AA, in BB, or in both AA and BB without repeating any elements.
  4. List Combined Elements: List the combined elements in ascending order without repetition.\newlineAB={1,2,3,5,6,7,8,9,10,11}A \cup B = \{1, 2, 3, 5, 6, 7, 8, 9, 10, 11\}
  5. Check for Missing Elements: Check for any missing or repeated elements in the union. All elements from both sets are present, and there are no repetitions.

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