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Let P={−1}P = \{-1\} and Q={−7,−5,−3,−1,1}Q = \{-7, -5, -3, -1, 1\}. What is P∪QP \cup Q?\newlineChoices:\newline(A){−7,−5,−3,1}\{-7, -5, -3, 1\}\newline(B){−7,−5,−3,−1,1}\{-7, -5, -3, -1, 1\}\newline(C){−5,−3}\{-5, -3\}\newline(D){−1}\{-1\}

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Q. Let P={−1}P = \{-1\} and Q={−7,−5,−3,−1,1}Q = \{-7, -5, -3, -1, 1\}. What is P∪QP \cup Q?\newlineChoices:\newline(A){−7,−5,−3,1}\{-7, -5, -3, 1\}\newline(B){−7,−5,−3,−1,1}\{-7, -5, -3, -1, 1\}\newline(C){−5,−3}\{-5, -3\}\newline(D){−1}\{-1\}
  1. Understand Union of Sets: Understand the concept of union of sets.\newlineThe union of two sets PP and QQ, denoted by P∪QP \cup Q, is the set of all elements that are in PP, or in QQ, or in both.
  2. List Set P: List the elements of set P.\newlineP = {−1}\{-1\}
  3. List Set QQ: List the elements of set QQ.Q={−7,−5,−3,−1,1}Q = \{-7, -5, -3, -1, 1\}
  4. Combine Elements: Combine the elements of PP and QQ to form the union.\newlineSince −1-1 is already in QQ, we do not need to list it twice. The union will include all unique elements from both sets.\newlineP∪Q={−7,−5,−3,−1,1}P \cup Q = \{-7, -5, -3, -1, 1\}
  5. Match with Choices: Match the result with the given choices.\newlineThe correct choice that matches our result is (B)−7,−5,−3,−1,1{-7, -5, -3, -1, 1}.

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