Let Q = {3, 6, 9, 12} and R = {15}. What is Q ∪ R? Choices: (A){3, 6, 9, 12, 15} (B) ∅ (C){3, 6, 9} (D){12, 15}

Definition of Union: The union of two sets Q and R, denoted by Q ∪ R, is the set of all elements that are in Q, or in R, or in both.Set Q: Set Q = {3, 6, 9, 12} contains the elements 3, 6, 9, and 12.Set R: Set R = {15} contains the single element 15.Finding Union Q ∪ R: To find the union Q ∪ R, we combine all unique elements from both sets without repeating any elements.Combining Elements: Combining the elements from both sets, we get {3, 6, 9, 12, 15}.Matching Result: The combined set {3, 6, 9, 12, 15} matches choice (A) from the given options.

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Let $Q = \{3, 6, 9, 12\}$ and $R = \{15\}$ . What is $Q \cup R$ ? $\newline$ Choices: $\newline$ (A) $\{3, 6, 9, 12, 15\}$ $\newline$ (B) $\emptyset$ $\newline$ (C) $\{3, 6, 9\}$ $\newline$ (D) $\{12, 15\}$

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Q. Let

Q = \{3, 6, 9, 12\}

and

R = \{15\}

. What is

Q \cup R

\newline

Choices:

\newline

(A)

\{3, 6, 9, 12, 15\}

\newline

(B)

\emptyset

\newline

(C)

\{3, 6, 9\}

\newline

(D)

\{12, 15\}

Definition of Union: The union of two sets $Q$ and $R$ , denoted by $Q \cup R$ , is the set of all elements that are in $Q$ , or in $R$ , or in both.
Set Q: Set Q = $\{3, 6, 9, 12\}$ contains the elements $3$ , $6$ , $9$ , and $12$ .
Set R: Set $R = \{15\}$ contains the single element $15$ .
Finding Union $Q \cup R$ : To find the union $Q \cup R$ , we combine all unique elements from both sets without repeating any elements.
Combining Elements: Combining the elements from both sets, we get $\{3, 6, 9, 12, 15\}$ .
Matching Result: The combined set $\{3, 6, 9, 12, 15\}$ matches choice (A) from the given options.