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

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Q. Let Q={6,12,18}Q = \{6, 12, 18\} and R={9,18}R = \{9, 18\}. What is QRQ \cup R?\newlineChoices:\newline(A){6,9,12,18}\{6, 9, 12, 18\}\newline(B){6,9,12}\{6, 9, 12\}\newline(C){6,9,18}\{6, 9, 18\}\newline(D){18}\{18\}
  1. Understand Union Concept: Understand the concept of union of sets.\newlineThe union of two sets QQ and RR, denoted by QRQ \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. List Set Elements: List the elements of set QQ and set RR.\ Set Q={6,12,18}Q = \{6, 12, 18\}\ Set R={9,18}R = \{9, 18\}
  3. Combine Elements: Combine the elements of both sets to form the union.\newlineSince 1818 is in both sets, we list it only once. The union of QQ and RR, QRQ \cup R, is \{6,9,12,186, 9, 12, 18\}.
  4. Match with Choices: Match the result with the given choices.\newlineThe union of QQ and RR is \{66, 99, 1212, 1818\}, which corresponds to choice (A)(A).

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