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Given:
Set 
A=6,9,11
Set 
B=4,6,8
What is the union of sets A and B?

{4,6,9,11}

{4,6,8,9,11}

{6}

{9,11}

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

Full solution

Q. Given:\newlineSet A=6,9,11 A=6,9,11 \newlineSet B=4,6,8 B=4,6,8 \newlineWhat is the union of sets A and B?\newline{4,6,9,11} \{4,6,9,11\} \newline{4,6,8,9,11} \{4,6,8,9,11\} \newline{6} \{6\} \newline{9,11} \{9,11\}
  1. Identify Elements in Set A: Identify the elements in set A. Set A contains the elements 66, 99, and 1111.
  2. Identify Elements in Set B: Identify the elements in set B. Set B contains the elements 44, 66, and 88.
  3. Combine Sets AA and BB: Combine the elements of set AA and set BB to find the union.\newlineThe union of two sets includes all the distinct elements from both sets. Therefore, we combine all the unique elements from set AA and set BB without repeating any elements.
  4. List Combined Elements: List the combined elements in ascending order to represent the union.\newlineThe combined elements from both sets in ascending order are 44, 66, 88, 99, and 1111.
  5. Check for Repeated Elements: Check for any repeated elements and remove duplicates if any. Since the number 66 appears in both sets, we ensure it is listed only once in the union.
  6. Write Final Answer: Write down the final answer for the union of sets AA and BB.\newlineThe union of sets AA and BB is {4,6,8,9,11}\{4, 6, 8, 9, 11\}.

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