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Which is the set of integers greater than or equal to $-5$ and less than or equal to $-1$ ? $\newline$ Choices: $\newline$ (A) $\{-5, -2\}$ $\newline$ (B) $\{-5, -3, -1\}$ $\newline$ (C) $\{-5, -4, -3, -2\}$ $\newline$ (D) $\{-5, -4, -3, -2, -1\}$

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Set-builder notation

Full solution

Q. Which is the set of integers greater than or equal to

-5

and less than or equal to

-1

?

\newline

Choices:

\newline

(A)

\{-5, -2\}

\newline

(B)

\{-5, -3, -1\}

\newline

(C)

\{-5, -4, -3, -2\}

\newline

(D)

\{-5, -4, -3, -2, -1\}

Identify Inequality: Identify the inequality that represents the condition ＂greater than or equal to $-5$ and less than or equal to $-1$ ＂. $\newline$ Inequality: $-5 \leq x \leq -1$
Determine Integers: Determine the set of integers that satisfy the inequality $-5 \leq x \leq -1$ . The integers that satisfy this condition are all the numbers between $-5$ and $-1$ , including $-5$ and $-1$ themselves.
List Satisfying Integers: List all the integers that satisfy the inequality. $\newline$ The integers are $-5$ , $-4$ , $-3$ , $-2$ , and $-1$ .
Match Correct Set: Match the list of integers with the given choices to find the correct set. $\newline$ The correct set is $(D)\{-5, -4, -3, -2, -1\}$ .

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