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Let A={1,2,3}A = \{1, 2, 3\} and B={2,4}B = \{2, 4\}. What is ABA \cup B?\newlineChoices:\newline(A){1,3,4}\{1, 3, 4\}\newline(B){1,2,3,4}\{1, 2, 3, 4\}\newline(C){4}\{4\}\newline(D){2}\{2\}

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Q. Let A={1,2,3}A = \{1, 2, 3\} and B={2,4}B = \{2, 4\}. What is ABA \cup B?\newlineChoices:\newline(A){1,3,4}\{1, 3, 4\}\newline(B){1,2,3,4}\{1, 2, 3, 4\}\newline(C){4}\{4\}\newline(D){2}\{2\}
  1. Define Union of Sets: The union of two sets AA and BB, denoted by ABA \cup B, is the set of elements that are in AA, or in BB, or in both. To find ABA \cup B, we combine all the unique elements from both sets without repeating any elements.
  2. Identify Sets A and B: Set A = {1,2,3}\{1, 2, 3\} and Set B = {2,4}\{2, 4\}. To find the union, we list all the elements from both sets: {1,2,3,4}\{1, 2, 3, 4\}. We do not repeat the element '22' because it is present in both sets.
  3. Combine Unique Elements: The union of sets AA and BB, ABA \cup B, is therefore {1,2,3,4}\{1, 2, 3, 4\}.

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