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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){−8}\{-8\}\newline(D){−12,−9,−3,−1}\{-12, -9, -3, -1\}

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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){−8}\{-8\}\newline(D){−12,−9,−3,−1}\{-12, -9, -3, -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 elements which are in PP, or in QQ, or in both. In other words, it combines all the unique elements from both sets.
  2. List Elements of Set P: List the elements of set PP.PP contains the elements {−12,−9,−8,−3,−1}\{-12, -9, -8, -3, -1\}.
  3. List Elements of Set Q: List the elements of set Q. Set Q contains the element {−8}\{-8\}.
  4. Combine Sets PP and QQ: Combine the elements of sets PP and QQ. Since −8-8 is already in set PP, adding set QQ to set PP does not introduce any new elements. Therefore, the union of PP and QQ is simply all the unique elements from both sets, which are already present in set PP.
  5. Write Union of Sets PP and QQ: Write down the union of sets PP and QQ.P∪Q={−12,−9,−8,−3,−1}.P \cup Q = \{-12, -9, -8, -3, -1\}.

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