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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) $\{8, 16\}$

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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. $\newline$ $F \cup G = \{2, 4, 8, 16\}$

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