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

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Write variable expressions for arithmetic sequencesright chevron icon

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Q. Let Q={6,12,18}Q = \{6, 12, 18\} and R={9,18}R = \{9, 18\}. What is Q∪RQ \cup R?\newlineChoices:\newline(A){6,9,18}\{6, 9, 18\}\newline(B){6,9,12}\{6, 9, 12\}\newline(C){6,9,12,18}\{6, 9, 12, 18\}\newline(D){18}\{18\}
  1. Concept of union of sets: Understand the concept of union of sets.\newlineThe union of two sets QQ and RR, denoted by Q∪RQ \cup R, is the set of elements that are in QQ, or in RR, or in both. To find the union, we combine the elements of both sets without repeating any elements.
  2. Elements of set Q: List the elements of set Q.\newlineSet Q = 6,12,18{6, 12, 18}
  3. Elements of set R: List the elements of set R.\newlineSet R = {9,18}\{9, 18\}
  4. Combine sets to form union: Combine the elements of sets QQ and RR to form the union.\newlineQ∪R={6,12,18}∪{9,18}={6,9,12,18}Q \cup R = \{6, 12, 18\} \cup \{9, 18\} = \{6, 9, 12, 18\}\newlineNote that we list the element 1818 only once, even though it appears in both sets, because each element in a set is unique.

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