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Let G={5,10,15}G = \{5, 10, 15\} and H={5,10,12,15}H = \{5, 10, 12, 15\}. What is G∪HG \cup H?\newlineChoices:\newline(A) {12}\{12\}\newline(B) {10,15}\{10, 15\}\newline(C) {5,10,15}\{5, 10, 15\}\newline(D) {5,10,12,15}\{5, 10, 12, 15\}

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Write variable expressions for arithmetic sequencesright chevron icon

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Q. Let G={5,10,15}G = \{5, 10, 15\} and H={5,10,12,15}H = \{5, 10, 12, 15\}. What is G∪HG \cup H?\newlineChoices:\newline(A) {12}\{12\}\newline(B) {10,15}\{10, 15\}\newline(C) {5,10,15}\{5, 10, 15\}\newline(D) {5,10,12,15}\{5, 10, 12, 15\}
  1. Understand concept of union: Understand the concept of union of sets. The union of two sets GG and HH, denoted by G∪HG \cup H, is the set of elements that are in GG, in HH, or in both GG and HH.
  2. List elements of set G: List the elements of set GG.G={5,10,15}G = \{5, 10, 15\}
  3. List elements of set H: List the elements of set HH.H={5,10,12,15}H = \{5, 10, 12, 15\}
  4. Combine elements of both sets: Combine the elements of both sets without repeating any elements to find G∪HG \cup H.\newlineG∪H={5,10,15}∪{5,10,12,15}={5,10,12,15}G \cup H = \{5, 10, 15\} \cup \{5, 10, 12, 15\} = \{5, 10, 12, 15\}
  5. Match with given choices: Match the result with the given choices.\newlineThe correct choice that represents the union of sets GG and HH is (D){5,10,12,15}\{5, 10, 12, 15\}.

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