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Let P={−12,−9,−8,−3,−1}P = \{-12, -9, -8, -3, -1\} and Q={−8}Q = \{-8\}. What is P∪QP \cup Q?\newlineChoices:\newline(A){−9,−8,−3,−1}\{-9, -8, -3, -1\}\newline(B){−12,−9,−8,−3,−1}\{-12, -9, -8, -3, -1\}\newline(C){−12,−9,−3,−1}\{-12, -9, -3, -1\}\newline(D){−8}\{-8\}

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Q. Let P={−12,−9,−8,−3,−1}P = \{-12, -9, -8, -3, -1\} and Q={−8}Q = \{-8\}. What is P∪QP \cup Q?\newlineChoices:\newline(A){−9,−8,−3,−1}\{-9, -8, -3, -1\}\newline(B){−12,−9,−8,−3,−1}\{-12, -9, -8, -3, -1\}\newline(C){−12,−9,−3,−1}\{-12, -9, -3, -1\}\newline(D){−8}\{-8\}
  1. Definition of Union: Understand what the union of two sets means.\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. Elements in Set P: List all the elements in set PP.P={−12,−9,−8,−3,−1}P = \{-12, -9, -8, -3, -1\}
  3. Elements in Set Q: List all the elements in set Q.\newlineQ = {−8}\{-8\}
  4. Forming the Union: Combine all unique elements from sets PP and QQ to form the union.\newlineSince −8-8 is already in set PP, adding set QQ to PP does not introduce any new elements. Therefore, the union of PP and QQ is the same as set PP.\newlineP∪Q={−12,−9,−8,−3,−1}P \cup Q = \{-12, -9, -8, -3, -1\}

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