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Given: Set A=4,5,7 Set B=5,9,12 What is A uu B ? {4,5,7,9} {5} {4,7} {4,5,7,9,12}

Given:\newlineSet A=4,5,7 \mathrm{A}=4,5,7 \newlineSet B=5,9,12 B=5,9,12 \newlineWhat is A∪B A \cup B ?\newline{4,5,7,9} \{4,5,7,9\} \newline{5} \{5\} \newline{4,7} \{4,7\} \newline{4,5,7,9,12} \{4,5,7,9,12\}

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Full solution

Q. Given:\newlineSet A=4,5,7 \mathrm{A}=4,5,7 \newlineSet B=5,9,12 B=5,9,12 \newlineWhat is A∪B A \cup B ?\newline{4,5,7,9} \{4,5,7,9\} \newline{5} \{5\} \newline{4,7} \{4,7\} \newline{4,5,7,9,12} \{4,5,7,9,12\}
  1. Identify Elements: Identify the elements in set AA and set BB.Set A={4,5,7}\text{Set } A = \{4, 5, 7\}Set B={5,9,12}\text{Set } B = \{5, 9, 12\}
  2. Determine Union: Determine the union of sets AA and BB, which is the set of all elements that are in AA, in BB, or in both AA and BB.A∪B={4,5,7}∪{5,9,12}A \cup B = \{4, 5, 7\} \cup \{5, 9, 12\}
  3. Combine Elements: Combine the elements without repeating any element, since sets do not contain duplicates.\newlineA∪B={4,5,7,9,12}A \cup B = \{4, 5, 7, 9, 12\}

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