Which is the set of numbers greater than or equal to -5 and less than or equal to -2? Choices: (A){x | x -2} (B){x | x ≥ -5 or x < -2} (C){x | x ≤ -5 and x ≥ -2} (D){x | x ≥ -5 and x ≤ -2}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than or equal to -5 and at the same time less than or equal to -2.Identify inequality signs: Identify the correct inequality signs for the conditions given. For ＂greater than or equal to -5＂, the inequality sign is ＂≥＂. For ＂less than or equal to -2＂, the inequality sign is ＂≤＂.Combine conditions logically: Combine the two conditions using the correct logical connector. Since a number has to satisfy both conditions at the same time, we use ＂and＂ to combine them.Translate into set notation: Translate the combined conditions into set notation. The correct set notation for numbers that are greater than or equal to -5 and less than or equal to -2 is {x | x ≥ -5 and x ≤ -2}.Match with given choices: Match the correct set notation with the given choices. The correct choice is (D){x | x ≥ -5 and x ≤ -2}.

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Which is the set of numbers greater than or equal to $-5$ and less than or equal to $-2$ ? $\newline$ Choices: $\newline$ (A) \{x | x < -5 \text{ and } x > -2\} $\newline$ (B) \{x | x \geq -5 \text{ or } x < -2\} $\newline$ (C) $\{x | x \leq -5 \text{ and } x \geq -2\}$ $\newline$ (D) $\{x | x \geq -5 \text{ and } x \leq -2\}$

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

-5

and less than or equal to

-2

\newline

Choices:

\newline

(A)

\{x | x < -5 \text{ and } x > -2\}

\newline

(B)

\{x | x \geq -5 \text{ or } x < -2\}

\newline

(C)

\{x | x \leq -5 \text{ and } x \geq -2\}

\newline

(D)

\{x | x \geq -5 \text{ and } x \leq -2\}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than or equal to $-5$ and at the same time less than or equal to $-2$ .
Identify inequality signs: Identify the correct inequality signs for the conditions given. For ＂greater than or equal to $-5$ ＂, the inequality sign is $\geq$ . For ＂less than or equal to $-2$ ＂, the inequality sign is $\leq$ .
Combine conditions logically: Combine the two conditions using the correct logical connector. Since a number has to satisfy both conditions at the same time, we use ＂and＂ to combine them.
Translate into set notation: Translate the combined conditions into set notation. The correct set notation for numbers that are greater than or equal to $-5$ and less than or equal to $-2$ is $\{x | x \geq -5 \text{ and } x \leq -2\}$ .
Match with given choices: Match the correct set notation with the given choices. The correct choice is $(D)\{x \mid x \geq -5 \text{ and } x \leq -2\}$ .