Let Q = {6, 12, 18} and R = {9, 18}. What is Q ∪ R? Choices: (A){6, 9, 12, 18} (B){6, 9, 12} (C){6, 9, 18} (D){18}

Understand Union Concept: Understand the concept of union of sets. The union of two sets Q and R, denoted by Q ∪ R, is the set of elements that are in Q, or in R, or in both. To find the union, we combine the elements of both sets without repeating any elements.List Set Elements: List the elements of set Q and set R. Set Q = {6, 12, 18} Set R = {9, 18}Combine Elements: Combine the elements of both sets to form the union. Since 18 is in both sets, we list it only once. The union of Q and R, Q ∪ R, is {6, 9, 12, 18}.Match with Choices: Match the result with the given choices. The union of Q and R is {6, 9, 12, 18}, which corresponds to choice (A).

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Let $Q = \{6, 12, 18\}$ and $R = \{9, 18\}$ . What is $Q \cup R$ ? $\newline$ Choices: $\newline$ (A) $\{6, 9, 12, 18\}$ $\newline$ (B) $\{6, 9, 12\}$ $\newline$ (C) $\{6, 9, 18\}$ $\newline$ (D) $\{18\}$

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Math Problems

Grade 8

Write variable expressions for arithmetic sequences

Full solution

Q. Let

Q = \{6, 12, 18\}

and

R = \{9, 18\}

. What is

Q \cup R

\newline

Choices:

\newline

(A)

\{6, 9, 12, 18\}

\newline

(B)

\{6, 9, 12\}

\newline

(C)

\{6, 9, 18\}

\newline

(D)

\{18\}

Understand Union Concept: Understand the concept of union of sets. $\newline$ The union of two sets $Q$ and $R$ , denoted by $Q \cup R$ , is the set of elements that are in $Q$ , or in $R$ , or in both. To find the union, we combine the elements of both sets without repeating any elements.
List Set Elements: List the elements of set $Q$ and set $R$ .\ Set $Q = \{6, 12, 18\}$ \ Set $R = \{9, 18\}$
Combine Elements: Combine the elements of both sets to form the union. $\newline$ Since $18$ is in both sets, we list it only once. The union of $Q$ and $R$ , $Q \cup R$ , is \{ $6, 9, 12, 18$ \}.
Match with Choices: Match the result with the given choices. $\newline$ The union of $Q$ and $R$ is \{ $6$ , $9$ , $12$ , $18$ \}, which corresponds to choice $(A)$ .