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Let D={5}D = \{5\} and E={5,15,25,35}E = \{5, 15, 25, 35\}. What is D∪ED \cup E?\newlineChoices:\newline(A){15,25,35}\{15, 25, 35\}\newline(B){25}\{25\}\newline(C) ∅\emptyset \newline(D){5,15,25,35}\{5, 15, 25, 35\}

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Write variable expressions for arithmetic sequencesright chevron icon

Full solution

Q. Let D={5}D = \{5\} and E={5,15,25,35}E = \{5, 15, 25, 35\}. What is D∪ED \cup E?\newlineChoices:\newline(A){15,25,35}\{15, 25, 35\}\newline(B){25}\{25\}\newline(C) ∅\emptyset \newline(D){5,15,25,35}\{5, 15, 25, 35\}
  1. Combine Unique Elements: To find the union of two sets, we combine all the unique elements from both sets without repeating any elements.\newlineD={5}D = \{5\}\newlineE={5,15,25,35}E = \{5, 15, 25, 35\}\newlineD∪E={all unique elements from D and E}D \cup E = \{\text{all unique elements from } D \text{ and } E\}
  2. Remove Repeated Elements: Since the number 55 is present in both sets, we only list it once in the union.D∪E={5,15,25,35}D \cup E = \{5, 15, 25, 35\}
  3. Check Correct Choice: We check the choices given to see which one matches our calculated union of sets DD and EE. The correct choice is (D){5,15,25,35}(D)\{5, 15, 25, 35\}.

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