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Let A={0}A = \{0\} and B={−5,−2,0,9}B = \{-5, -2, 0, 9\}. What is A∪BA \cup B?\newlineChoices:\newline(A){0}\{0\}\newline(B){0,9}\{0, 9\}\newline(C){−5,−2,9}\{-5, -2, 9\}\newline(D){−5,−2,0,9}\{-5, -2, 0, 9\}

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Q. Let A={0}A = \{0\} and B={−5,−2,0,9}B = \{-5, -2, 0, 9\}. What is A∪BA \cup B?\newlineChoices:\newline(A){0}\{0\}\newline(B){0,9}\{0, 9\}\newline(C){−5,−2,9}\{-5, -2, 9\}\newline(D){−5,−2,0,9}\{-5, -2, 0, 9\}
  1. Understand Union of Sets: Understand the concept of union of sets.\newlineThe union of two sets AA and BB, denoted by A∪BA \cup B, is the set of all elements that are in AA, or in BB, or in both. It includes all the unique elements from both sets.
  2. Identify Set Elements: Identify the elements of set AA and set BB.Set A={0}\text{Set } A = \{0\}Set B={−5,−2,0,9}\text{Set } B = \{-5, -2, 0, 9\}
  3. Combine Elements for Union: Combine the elements of set AA and set BB to form the union.\newlineSince 00 is the only element in set AA and it is also in set BB, we include it once in the union. The union will include all the unique elements from both sets.\newlineA∪B={−5,−2,0,9}A \cup B = \{-5, -2, 0, 9\}

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