Let D = {5} and E = {5, 15, 25, 35}. What is D ∪ E? Choices: (A){15, 25, 35} (B){25} (C) ∅ (D){5, 15, 25, 35}

Combine Unique Elements: To find the union of two sets, we combine all the unique elements from both sets without repeating any elements. D = {5} E = {5, 15, 25, 35} D ∪ E = {all unique elements from D and E}Remove Repeated Elements: Since the number 5 is present in both sets, we only list it once in the union. D ∪ E = {5, 15, 25, 35}Check Correct Choice: We check the choices given to see which one matches our calculated union of sets D and E. The correct choice is (D){5, 15, 25, 35}.

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Let $D = \{5\}$ and $E = \{5, 15, 25, 35\}$ . What is $D \cup E$ ? $\newline$ Choices: $\newline$ (A) $\{15, 25, 35\}$ $\newline$ (B) $\{25\}$ $\newline$ (C) $\emptyset$ $\newline$ (D) $\{5, 15, 25, 35\}$

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Math Problems

Grade 8

Write variable expressions for arithmetic sequences

Full solution

Q. Let

D = \{5\}

and

E = \{5, 15, 25, 35\}

. What is

D \cup E

\newline

Choices:

\newline

(A)

\{15, 25, 35\}

\newline

(B)

\{25\}

\newline

(C)

\emptyset

\newline

(D)

\{5, 15, 25, 35\}

Combine Unique Elements: To find the union of two sets, we combine all the unique elements from both sets without repeating any elements. $\newline$ $D = \{5\}$ $\newline$ $E = \{5, 15, 25, 35\}$ $\newline$ $D \cup E = \{\text{all unique elements from } D \text{ and } E\}$
Remove Repeated Elements: Since the number $5$ is present in both sets, we only list it once in the union. $D \cup E = \{5, 15, 25, 35\}$
Check Correct Choice: We check the choices given to see which one matches our calculated union of sets $D$ and $E$ . The correct choice is $(D)\{5, 15, 25, 35\}$ .