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

Concept of union of sets: 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.Elements of set Q: List the elements of set Q. Set Q = {6, 12, 18}Elements of set R: List the elements of set R. Set R = {9, 18}Combine sets to form union: Combine the elements of sets Q and R to form the union. Q ∪ R = {6, 12, 18} ∪ {9, 18} = {6, 9, 12, 18} Note that we list the element 18 only once, even though it appears in both sets, because each element in a set is unique.

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

\newline

(B)

\{6, 9, 12\}

\newline

(C)

\{6, 9, 12, 18\}

\newline

(D)

\{18\}

Concept of union of sets: 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.
Elements of set Q: List the elements of set Q. $\newline$ Set Q = ${6, 12, 18}$
Elements of set R: List the elements of set R. $\newline$ Set R = $\{9, 18\}$
Combine sets to form union: Combine the elements of sets $Q$ and $R$ to form the union. $\newline$ $Q \cup R = \{6, 12, 18\} \cup \{9, 18\} = \{6, 9, 12, 18\}$ $\newline$ Note that we list the element $18$ only once, even though it appears in both sets, because each element in a set is unique.