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

{5,11}

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

{1,2,3,5,7,11}

{1,3,6,10}

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

Full solution

Q. Given:\newlineSet A=2,5,7,11 \mathrm{A}=2,5,7,11 \newlineSet B=1,3,5,6,10,11 B=1,3,5,6,10,11 \newlineWhat is the union of sets A and B?\newline{5,11} \{5,11\} \newline{1,2,3,5,6,7,10,11} \{1,2,3,5,6,7,10,11\} \newline{1,2,3,5,7,11} \{1,2,3,5,7,11\} \newline{1,3,6,10} \{1,3,6,10\}
  1. Identify Elements of Set A: Identify the elements of set AA.A={2,5,7,11}A = \{2, 5, 7, 11\}
  2. Identify Elements of Set B: Identify the elements of set B.\newlineSet B = 1,3,5,6,10,11{1, 3, 5, 6, 10, 11}
  3. Form Union of Sets AA and BB: Combine all unique elements from sets AA and BB to form the union.\newlineThe union of AA and BB, denoted as ABA \cup B, includes every element that is in AA, in BB, or in both AA and BB.\newlineBB11
  4. Check for Duplicates: Check for any duplicates or missing elements in the union. There are no duplicates, and all elements from both sets are included.

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