Let D = {-6, -2, 1, 5, 6, 11} and E = {-6, -2, 1, 4, 5, 11}. What is D ∩ E? Choices: (A){-6, -2, 1, 5, 11} (B){-6, -2, 1, 4, 5, 6, 11} (C){-6, 1, 4, 5} (D){-6, 5}

Understand Intersection Definition: Understand what D ∩ E represents. The intersection of two sets, D ∩ E, includes all the elements that are common to both sets D and E.List Elements of D and E: List the elements of set D and set E. D = {-6, -2, 1, 5, 6, 11} E = {-6, -2, 1, 4, 5, 11}Identify Common Elements: Identify the common elements in both sets. The common elements in both sets are: -6, -2, 1, 5, and 11.Write Intersection of D and E: Write down the intersection of D and E. D ∩ E = {-6, -2, 1, 5, 11}Match with Choices: Match the result with the given choices. The correct choice that matches our result is (A){-6, -2, 1, 5, 11}.

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Let $D = \{-6, -2, 1, 5, 6, 11\}$ and $E = \{-6, -2, 1, 4, 5, 11\}$ . What is $D \cap E$ ? $\newline$ Choices: $\newline$ (A) $\{-6, -2, 1, 5, 11\}$ $\newline$ (B) $\{-6, -2, 1, 4, 5, 6, 11\}$ $\newline$ (C) $\{-6, 1, 4, 5\}$ $\newline$ (D) $\{-6, 5\}$

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Math Problems

Algebra 1

Unions and intersections of sets

Full solution

Q. Let

D = \{-6, -2, 1, 5, 6, 11\}

and

E = \{-6, -2, 1, 4, 5, 11\}

. What is

D \cap E

\newline

Choices:

\newline

(A)

\{-6, -2, 1, 5, 11\}

\newline

(B)

\{-6, -2, 1, 4, 5, 6, 11\}

\newline

(C)

\{-6, 1, 4, 5\}

\newline

(D)

\{-6, 5\}

Understand Intersection Definition: Understand what $D \cap E$ represents. $\newline$ The intersection of two sets, $D \cap E$ , includes all the elements that are common to both sets $D$ and $E$ .
List Elements of D and E: List the elements of set $D$ and set $E$ . $D = \{-6, -2, 1, 5, 6, 11\}$ $E = \{-6, -2, 1, 4, 5, 11\}$
Identify Common Elements: Identify the common elements in both sets. $\newline$ The common elements in both sets are: $-6$ , $-2$ , $1$ , $5$ , and $11$ .
Write Intersection of D and E: Write down the intersection of $D$ and $E$ . $D \cap E = \{-6, -2, 1, 5, 11\}$
Match with Choices: Match the result with the given choices. $\newline$ The correct choice that matches our result is (A) ${-6, -2, 1, 5, 11}$ .