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Given:
Set
A=4,9,10,11
Set
B=4,8,10,12
What is the union of sets A and B?

{9,11}

{4,8,9,10,12}

{4,10}

{4,8,9,10,11,12}

Given: $\newline$ Set $A=4,9,10,11$ $\newline$ Set $B=4,8,10,12$ $\newline$ What is the union of sets A and B? $\newline$ $\{9,11\}$ $\newline$ $\{4,8,9,10,12\}$ $\newline$ $\{4,10\}$ $\newline$ $\{4,8,9,10,11,12\}$

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Set-builder notation

Full solution

Q. Given:

\newline

Set

A=4,9,10,11

\newline

Set

B=4,8,10,12

\newline

What is the union of sets A and B?

\newline

\{9,11\}

\newline

\{4,8,9,10,12\}

\newline

\{4,10\}

\newline

\{4,8,9,10,11,12\}

Union of sets $A$ and $B$ : Union of sets $A$ and $B$ means all elements from both sets, but each element listed only once.
List elements from set A: List all elements from set $A$ : $4$ , $9$ , $10$ , $11$ .
List elements from set B: List all elements from set B: $4$ , $8$ , $10$ , $12$ .
Combine elements without repeating: Combine the elements without repeating any: $4, 9, 10, 11, 8, 12$ .
Put combined elements in order: Put the combined elements in order: $4, 8, 9, 10, 11, 12$ .

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