Let F = {2, 4, 8, 16} and G = {4}. What is F ∪ G? Choices: (A){2, 4, 8, 16} (B){2, 8, 16} (C){4} (D){8, 16}

Understand Union of Sets: Understand the concept of union of sets. The union of two sets F and G, denoted by F ∪ G, is the set of all elements that are in F, or in G, or in both. To find the union, we combine the elements of both sets without repeating any elements.List Elements of Sets: List the elements of set F and set G. Set F = {2, 4, 8, 16} Set G = {4}Combine Elements for Union: Combine the elements of F and G to form the union. Since 4 is already in set F, we do not need to repeat it. The union of F and G, F ∪ G, will include all the unique elements from both sets. F ∪ G = {2, 4, 8, 16}

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Let

F = \{2, 4, 8, 16\}

and

G = \{4\}

. What is

F \cup G

\newline

Choices:

\newline

(A)

\{2, 4, 8, 16\}

\newline

(B)

\{2, 8, 16\}

\newline

(C)

\{4\}

\newline

(D)

\{8, 16\}

Understand Union of Sets: Understand the concept of union of sets. $\newline$ The union of two sets $F$ and $G$ , denoted by $F \cup G$ , is the set of all elements that are in $F$ , or in $G$ , or in both. To find the union, we combine the elements of both sets without repeating any elements.
List Elements of Sets: List the elements of set $F$ and set $G$ .Set $F = \{2, 4, 8, 16\}$ Set $G = \{4\}$
Combine Elements for Union: Combine the elements of $F$ and $G$ to form the union. $\newline$ Since $4$ is already in set $F$ , we do not need to repeat it. The union of $F$ and $G$ , $F \cup G$ , will include all the unique elements from both sets. $\newline$ $F \cup G = \{2, 4, 8, 16\}$