Let R = {-4, 4, 14} and S = {2, 12}. What is R U S? Choices: [[{-4,2,4,12,14}][Φ][{2, 4, 12}][{-4, 2}]]

Concept of union of sets: Understand the concept of union of sets. The union of two sets R and S, denoted by R ∪ S, is the set of all elements that are in R, or in S, or in both. This means we combine the elements of both sets without repeating any elements.Elements of set R: List the elements of set R. R = {-4, 4, 14}Elements of set S: List the elements of set S. S = {2, 12}Forming the union: Combine the elements of R and S to form the union. R ∪ S = {-4, 4, 14} ∪ {2, 12} = {-4, 2, 4, 12, 14} We make sure to list each element only once, even if it appears in both sets.

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Let $R = \{-4, 4, 14\}$ and $S = \{2, 12\}$ . What is $R \cup S$ ? $\newline$ Choices: $\newline$ (A) $\{-4,2,4,12,14\}$ $\newline$ (B) $\Phi$ $\newline$ (C) $\{2, 4, 12\}$ $\newline$ (D) $\{-4, 2\}$

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Math Problems

Algebra 1

Unions and intersections of sets

Full solution

Q. Let

R = \{-4, 4, 14\}

and

S = \{2, 12\}

. What is

R \cup S

\newline

Choices:

\newline

(A)

\{-4,2,4,12,14\}

\newline

(B)

\Phi

\newline

(C)

\{2, 4, 12\}

\newline

(D)

\{-4, 2\}

Concept of union of sets: Understand the concept of union of sets. $\newline$ The union of two sets $R$ and $S$ , denoted by $R \cup S$ , is the set of all elements that are in $R$ , or in $S$ , or in both. This means we combine the elements of both sets without repeating any elements.
Elements of set R: List the elements of set R. $\newline$ R = $\{-4, 4, 14\}$
Elements of set S: List the elements of set S. $\newline$ S = $\{2, 12\}$
Forming the union: Combine the elements of $R$ and $S$ to form the union. $R \cup S = \{-4, 4, 14\} \cup \{2, 12\} = \{-4, 2, 4, 12, 14\}$ We make sure to list each element only once, even if it appears in both sets.