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Let $J = \{-7, -6, -2, 0, 1, 5\}$ and $K = \{-4, -1, 2\}$ . What is $J \cap K$ ? $\newline$ Choices: $\newline$ (A) $\{-7, -6, -4, -2, -1, 0, 1, 2, 5\}$ $\newline$ (B) $\{-4, -2, -1, 0, 1, 2, 5\}$ $\newline$ (C) $\{-7, -6, -1, 0, 1, 5\}$ $\newline$ (D) $\emptyset$

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Full solution

Q. Let

J = \{-7, -6, -2, 0, 1, 5\}

and

K = \{-4, -1, 2\}

. What is

J \cap K

?

\newline

Choices:

\newline

(A)

\{-7, -6, -4, -2, -1, 0, 1, 2, 5\}

\newline

(B)

\{-4, -2, -1, 0, 1, 2, 5\}

\newline

(C)

\{-7, -6, -1, 0, 1, 5\}

\newline

(D)

\emptyset

Question Prompt: The question_prompt: What is the intersection of sets $J$ and $K$ ?
Intersection of Sets: To find the intersection of two sets, we look for elements that are common to both sets.
Comparison of Elements: Set $J = \{-7, -6, -2, 0, 1, 5\}$ $\newline$ Set $K = \{-4, -1, 2\}$ $\newline$ We compare each element of set $J$ with each element of set $K$ to find common elements.
No Common Elements: Comparing the elements, we see that there are no elements that are present in both sets $J$ and $K$ .
Intersection Result: Since there are no common elements, the intersection of sets $J$ and $K$ is the empty set, denoted by $\emptyset$ .
Correct Choice: The correct choice that represents the intersection of sets $J$ and $K$ is (D) $\emptyset$ .

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