Let D = {0, 1, 5, 7, 8} and E = {1, 8}. What is D ∪ E? Choices: (A){0, 1, 5, 7, 8} (B){1} (C){1, 8} (D){0, 5, 7}

Concept of union of sets: Understand the concept of union of sets. The union of two sets D and E, denoted by D ∪ E, is the set of all elements that are in D, or in E, or in both. It includes all the unique elements from both sets.Identify elements of sets: Identify the elements of set D and set E. We have: D = {0, 1, 5, 7, 8} E = {1, 8}Combine elements without repetition: Combine the elements of both sets without repeating any elements to form the union. Since 1 and 8 are in both D and E, they will not be repeated. The union set will include all the unique elements from D and E. D ∪ E = {0, 1, 5, 7, 8}Match with given choices: Match the resulting set with the given choices to find the correct answer. The set {0, 1, 5, 7, 8} matches with choice (A).

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Let $D = \{0, 1, 5, 7, 8\}$ and $E = \{1, 8\}$ . What is $D \cup E$ ? $\newline$ Choices: $\newline$ (A) $\{0, 1, 5, 7, 8\}$ $\newline$ (B) $\{1\}$ $\newline$ (C) $\{1, 8\}$ $\newline$ (D) $\{0, 5, 7\}$

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Math Problems

Algebra 1

Unions and intersections of sets

Full solution

Q. Let

D = \{0, 1, 5, 7, 8\}

and

E = \{1, 8\}

. What is

D \cup E

\newline

Choices:

\newline

(A)

\{0, 1, 5, 7, 8\}

\newline

(B)

\{1\}

\newline

(C)

\{1, 8\}

\newline

(D)

\{0, 5, 7\}

Concept of union of sets: Understand the concept of union of sets. $\newline$ The union of two sets $D$ and $E$ , denoted by $D \cup E$ , is the set of all elements that are in $D$ , or in $E$ , or in both. It includes all the unique elements from both sets.
Identify elements of sets: Identify the elements of set $D$ and set $E$ . We have: $D = \{0, 1, 5, 7, 8\}$ $E = \{1, 8\}$
Combine elements without repetition: Combine the elements of both sets without repeating any elements to form the union. $\newline$ Since $1$ and $8$ are in both $D$ and $E$ , they will not be repeated. The union set will include all the unique elements from $D$ and $E$ . $\newline$ $D \cup E = \{0, 1, 5, 7, 8\}$
Match with given choices: Match the resulting set with the given choices to find the correct answer. $\newline$ The set $\{0, 1, 5, 7, 8\}$ matches with choice (A).