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

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Q. Let Q={3,6,9,12}Q = \{3, 6, 9, 12\} and R={15}R = \{15\}. What is Q∪RQ \cup R?\newlineChoices:\newline(A){3,6,9,12,15}\{3, 6, 9, 12, 15\}\newline(B) ∅\emptyset \newline(C){3,6,9}\{3, 6, 9\}\newline(D){12,15}\{12, 15\}
  1. Definition of Union: The union of two sets QQ and RR, denoted by Q∪RQ \cup R, is the set of all elements that are in QQ, or in RR, or in both.
  2. Set Q: Set Q = {3,6,9,12}\{3, 6, 9, 12\} contains the elements 33, 66, 99, and 1212.
  3. Set R: Set R={15}R = \{15\} contains the single element 1515.
  4. Finding Union Q∪RQ \cup R: To find the union Q∪RQ \cup R, we combine all unique elements from both sets without repeating any elements.
  5. Combining Elements: Combining the elements from both sets, we get {3,6,9,12,15}\{3, 6, 9, 12, 15\}.
  6. Matching Result: The combined set {3,6,9,12,15}\{3, 6, 9, 12, 15\} matches choice (A) from the given options.

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