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Which is the set of integers greater than $2$ and less than $6$ ? $\newline$ Choices: $\newline$ (A) $\{3, 4, 5\}$ $\newline$ (B) $\{3, 5\}$ $\newline$ (C) $\{3, 4, 5, 6\}$ $\newline$ (D) $\emptyset$

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Set-builder notation

Full solution

Q. Which is the set of integers greater than

2

and less than

6

?

\newline

Choices:

\newline

(A)

\{3, 4, 5\}

\newline

(B)

\{3, 5\}

\newline

(C)

\{3, 4, 5, 6\}

\newline

(D)

\emptyset

Identify Range: Identify the range of integers that satisfy the given conditions. $\newline$ We are looking for integers that are greater than $2$ and less than $6$ . This means we need to find integers that are between $2$ and $6$ , not including $2$ and $6$ themselves.
List Integers: List the integers that fall within this range. $\newline$ The integers greater than $2$ and less than $6$ are $3$ , $4$ , and $5$ . These are the only integers that satisfy both conditions.
Match Choices: Match the list of integers to the given choices. $\newline$ The list of integers we found in Step $2$ is $\{3, 4, 5\}$ . We need to find this set among the given choices.
Select Correct: Select the correct choice. $\newline$ Choice (A) $\{3, 4, 5\}$ matches the list of integers we found. Therefore, this is the correct answer.

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