Let M = {2, 4, 6, 8, 10} and N = {2, 6, 8, 10, 14, 16}. What is M ∩ N? Choices: (A){6, 8, 10} (B){2, 6, 8, 10, 14, 16} (C){2, 6, 8, 10} (D){2, 4, 6, 8, 10, 14, 16}

Understand Intersection of Sets: Understand what the intersection of two sets means. The intersection of two sets M and N, denoted by M ∩ N, includes all the elements that are common to both sets M and N.List Elements of Set M: List the elements of set M. M = {2, 4, 6, 8, 10}List Elements of Set N: List the elements of set N. N = {2, 6, 8, 10, 14, 16}Identify Common Elements: Identify the common elements in sets M and N. The common elements are those that appear in both sets. By comparing the two sets, we find that the common elements are 2, 6, 8, and 10.Write Intersection of M and N: Write down the intersection of M and N. M ∩ N = {2, 6, 8, 10}

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Let $M = \{2, 4, 6, 8, 10\}$ and $N = \{2, 6, 8, 10, 14, 16\}$ . What is $M \cap N$ ? $\newline$ Choices: $\newline$ (A) $\{6, 8, 10\}$ $\newline$ (B) $\{2, 6, 8, 10, 14, 16\}$ $\newline$ (C) $\{2, 6, 8, 10\}$ $\newline$ (D) $\{2, 4, 6, 8, 10, 14, 16\}$

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Math Problems

Algebra 1

Unions and intersections of sets

Full solution

Q. Let

M = \{2, 4, 6, 8, 10\}

and

N = \{2, 6, 8, 10, 14, 16\}

. What is

M \cap N

\newline

Choices:

\newline

(A)

\{6, 8, 10\}

\newline

(B)

\{2, 6, 8, 10, 14, 16\}

\newline

(C)

\{2, 6, 8, 10\}

\newline

(D)

\{2, 4, 6, 8, 10, 14, 16\}

Understand Intersection of Sets: Understand what the intersection of two sets means. $\newline$ The intersection of two sets $M$ and $N$ , denoted by $M \cap N$ , includes all the elements that are common to both sets $M$ and $N$ .
List Elements of Set M: List the elements of set $M$ . $M = \{2, 4, 6, 8, 10\}$
List Elements of Set N: List the elements of set $N$ . $N = \{2, 6, 8, 10, 14, 16\}$
Identify Common Elements: Identify the common elements in sets $M$ and $N$ . The common elements are those that appear in both sets. By comparing the two sets, we find that the common elements are $2$ , $6$ , $8$ , and $10$ .
Write Intersection of M and N: Write down the intersection of M and N. $M \cap N = \{2, 6, 8, 10\}$