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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 GHG \cup H?\newlineChoices:\newline(A){10,15}\{10, 15\}\newline(B){5,10,12,15}\{5, 10, 12, 15\}\newline(C){5,10,15}\{5, 10, 15\}\newline(D){12}\{12\}

Full solution

Q. Let G={5,10,15}G = \{5, 10, 15\} and H={5,10,12,15}H = \{5, 10, 12, 15\}. What is GHG \cup H?\newlineChoices:\newline(A){10,15}\{10, 15\}\newline(B){5,10,12,15}\{5, 10, 12, 15\}\newline(C){5,10,15}\{5, 10, 15\}\newline(D){12}\{12\}
  1. Combine unique elements: To find the union of two sets, we combine all the unique elements from both sets without repeating any elements.\newlineG={5,10,15}G = \{5, 10, 15\}\newlineH={5,10,12,15}H = \{5, 10, 12, 15\}\newlineGH={all unique elements from G and H}G \cup H = \{\text{all unique elements from } G \text{ and } H\}
  2. Include missing elements: List all the elements from set GG and then include any elements from set HH that are not already in GG.GH={5,10,15,12}G \cup H = \{5, 10, 15, 12\}
  3. Arrange in ascending order: Arrange the elements of the union set in ascending order for clarity.\newlineGH={5,10,12,15}G \cup H = \{5, 10, 12, 15\}

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