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

Full solution

Q. Given:

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Set

A=6,9,11

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Set

B=4,6,8

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What is the union of sets A and B?

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\{4,6,9,11\}

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\{4,6,8,9,11\}

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\{6\}

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\{9,11\}

Identify Elements in Set A: Identify the elements in set A. Set A contains the elements $6$ , $9$ , and $11$ .
Identify Elements in Set B: Identify the elements in set B. Set B contains the elements $4$ , $6$ , and $8$ .
Combine Sets $A$ and $B$ : Combine the elements of set $A$ and set $B$ to find the union. $\newline$ The union of two sets includes all the distinct elements from both sets. Therefore, we combine all the unique elements from set $A$ and set $B$ without repeating any elements.
List Combined Elements: List the combined elements in ascending order to represent the union. $\newline$ The combined elements from both sets in ascending order are $4$ , $6$ , $8$ , $9$ , and $11$ .
Check for Repeated Elements: Check for any repeated elements and remove duplicates if any. Since the number $6$ appears in both sets, we ensure it is listed only once in the union.
Write Final Answer: Write down the final answer for the union of sets $A$ and $B$ . $\newline$ The union of sets $A$ and $B$ is $\{4, 6, 8, 9, 11\}$ .