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Given: Set A=5,8,10,11 Set B=1,6,12 What is the union of sets A and B? {1,5,6,8,10,11,12} {5,8,10,11} {} {1,6,8,10,11,12}

Given:\newlineSet A=5,8,10,11 A=5,8,10,11 \newlineSet B=1,6,12 B=1,6,12 \newlineWhat is the union of sets A and B?\newline{1,5,6,8,10,11,12} \{1,5,6,8,10,11,12\} \newline{5,8,10,11} \{5,8,10,11\} \newline{} \{\} \newline{1,6,8,10,11,12} \{1,6,8,10,11,12\}

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Full solution

Q. Given:\newlineSet A=5,8,10,11 A=5,8,10,11 \newlineSet B=1,6,12 B=1,6,12 \newlineWhat is the union of sets A and B?\newline{1,5,6,8,10,11,12} \{1,5,6,8,10,11,12\} \newline{5,8,10,11} \{5,8,10,11\} \newline{} \{\} \newline{1,6,8,10,11,12} \{1,6,8,10,11,12\}
  1. Define Union of Sets: Union of sets AA and BB means all elements from both sets, without repeating any element.
  2. List Elements of Sets: List all elements from set AA and set BB: A={5,8,10,11}A = \{5, 8, 10, 11\}, B={1,6,12}B = \{1, 6, 12\}.
  3. Combine Elements: Combine all elements from both sets: 5,8,10,11,1,6,12{5, 8, 10, 11, 1, 6, 12}.
  4. Arrange in Ascending Order: Arrange the elements in ascending order: {1,5,6,8,10,11,12}\{1, 5, 6, 8, 10, 11, 12\}.

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