Let E = {2, 6} and F = {1, 3, 4, 5, 7}. What is E ∩ F? Choices: (A){1, 2, 5, 6} (B){1, 2, 5, 6, 7} (C){1, 2, 3, 4, 5, 6, 7} (D) ∅

Intersection Definition: The intersection of two sets, denoted by E ∩ F, is the set of elements that are common to both E and F. List Set E: We list the elements of set E, which are {2, 6}. List Set F: We list the elements of set F, which are {1, 3, 4, 5, 7}. Find Common Elements: We look for common elements between set E and set F. There are no common elements since 2 and 6 are not in set F. Intersection Result: Since there are no common elements, the intersection of E and F is the empty set, denoted by ∅.

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Let $E = \{2, 6\}$ and $F = \{1, 3, 4, 5, 7\}$ . What is $E \cap F$ ? $\newline$ Choices: $\newline$ (A) $\{1, 2, 5, 6\}$ $\newline$ (B) $\{1, 2, 5, 6, 7\}$ $\newline$ (C) $\{1, 2, 3, 4, 5, 6, 7\}$ $\newline$ (D) $\emptyset$

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Algebra 2

Is (x, y) a solution to the system of equations?

Full solution

Q. Let

E = \{2, 6\}

and

F = \{1, 3, 4, 5, 7\}

. What is

E \cap F

\newline

Choices:

\newline

(A)

\{1, 2, 5, 6\}

\newline

(B)

\{1, 2, 5, 6, 7\}

\newline

(C)

\{1, 2, 3, 4, 5, 6, 7\}

\newline

(D)

\emptyset

Intersection Definition: The intersection of two sets, denoted by $E \cap F$ , is the set of elements that are common to both $E$ and $F$ .
List Set E: We list the elements of set E, which are $\{2, 6\}$ .
List Set F: We list the elements of set F, which are $\{1, 3, 4, 5, 7\}$ .
Find Common Elements: We look for common elements between set $E$ and set $F$ . There are no common elements since $2$ and $6$ are not in set $F$ .
Intersection Result: Since there are no common elements, the intersection of $E$ and $F$ is the empty set, denoted by $\emptyset$ .