Let P = {-1} and Q = {-7, -5, -3, -1, 1}. What is P ∪ Q? Choices: (A){-7, -5, -3, 1} (B){-7, -5, -3, -1, 1} (C){-5, -3} (D){-1}

Understand Union of Sets: Understand the concept of union of sets. 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.List Set P: List the elements of set P. P = {-1}List Set Q: List the elements of set Q. Q = {-7, -5, -3, -1, 1}Combine Elements: Combine the elements of P and Q to form the union. Since -1 is already in Q, we do not need to list it twice. The union will include all unique elements from both sets. P ∪ Q = {-7, -5, -3, -1, 1}Match with Choices: Match the result with the given choices. The correct choice that matches our result is (B){-7, -5, -3, -1, 1}.

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

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Math Problems

Algebra 2

Composition of linear functions: find a value

Full solution

Q. Let

P = \{-1\}

and

Q = \{-7, -5, -3, -1, 1\}

. What is

P \cup Q

\newline

Choices:

\newline

(A)

\{-7, -5, -3, 1\}

\newline

(B)

\{-7, -5, -3, -1, 1\}

\newline

(C)

\{-5, -3\}

\newline

(D)

\{-1\}

Understand Union of Sets: Understand the concept of union of sets. $\newline$ 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.
List Set P: List the elements of set P. $\newline$ P = $\{-1\}$
List Set $Q$ : List the elements of set $Q$ . $Q = \{-7, -5, -3, -1, 1\}$
Combine Elements: Combine the elements of $P$ and $Q$ to form the union. $\newline$ Since $-1$ is already in $Q$ , we do not need to list it twice. The union will include all unique elements from both sets. $\newline$ $P \cup Q = \{-7, -5, -3, -1, 1\}$
Match with Choices: Match the result with the given choices. $\newline$ The correct choice that matches our result is (B) ${-7, -5, -3, -1, 1}$ .