Let P = {-12, -9, -8, -3, -1} and Q = {-8}. What is P ∪ Q? Choices: (A){-9, -8, -3, -1} (B){-12, -9, -8, -3, -1} (C){-12, -9, -3, -1} (D){-8}

Definition of Union: Understand what the union of two sets means. The union of two sets P and Q, denoted by P ∪ Q, is the set of all elements that are in P, or in Q, or in both.Elements in Set P: List all the elements in set P. P = {-12, -9, -8, -3, -1}Elements in Set Q: List all the elements in set Q. Q = {-8}Forming the Union: Combine all unique elements from sets P and Q to form the union. Since -8 is already in set P, adding set Q to P does not introduce any new elements. Therefore, the union of P and Q is the same as set P. P ∪ Q = {-12, -9, -8, -3, -1}

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

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Math Problems

Algebra 2

Composition of linear functions: find a value

Full solution

Q. Let

P = \{-12, -9, -8, -3, -1\}

and

Q = \{-8\}

. What is

P \cup Q

\newline

Choices:

\newline

(A)

\{-9, -8, -3, -1\}

\newline

(B)

\{-12, -9, -8, -3, -1\}

\newline

(C)

\{-12, -9, -3, -1\}

\newline

(D)

\{-8\}

Definition of Union: Understand what the union of two sets means. $\newline$ The union of two sets $P$ and $Q$ , denoted by $P \cup Q$ , is the set of all elements that are in $P$ , or in $Q$ , or in both.
Elements in Set P: List all the elements in set $P$ . $P = \{-12, -9, -8, -3, -1\}$
Elements in Set Q: List all the elements in set Q. $\newline$ Q = $\{-8\}$
Forming the Union: Combine all unique elements from sets $P$ and $Q$ to form the union. $\newline$ Since $-8$ is already in set $P$ , adding set $Q$ to $P$ does not introduce any new elements. Therefore, the union of $P$ and $Q$ is the same as set $P$ . $\newline$ $P \cup Q = \{-12, -9, -8, -3, -1\}$