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

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

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)

\{-8\}

\newline

(D)

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