Which is the set of numbers greater than -4 and less than 5? Choices: (A){x | x 5} (B){x | x 5} (C){x | x > -4 or x -4 and x < 5}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than -4 and at the same time less than 5.Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers greater than -4, we use the ＂>＂ sign. For numbers less than 5, we use the ＂ -4 and x -4 and x < 5}.

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Which is the set of numbers greater than $-4$ and less than $5$ ? $\newline$ Choices: $\newline$ (A)\{x | x < -4 \text{ and } x > 5\} $\newline$ (B)\{x | x < -4 \text{ or } x > 5\} $\newline$ (C)\{x | x > -4 \text{ or } x < 5\} $\newline$ (D)\{x | x > -4 \text{ and } x < 5\}

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Q. Which is the set of numbers greater than

-4

and less than

5

\newline

Choices:

\newline

(A)

\{x | x < -4 \text{ and } x > 5\}

\newline

(B)

\{x | x < -4 \text{ or } x > 5\}

\newline

(C)

\{x | x > -4 \text{ or } x < 5\}

\newline

(D)

\{x | x > -4 \text{ and } x < 5\}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than $-4$ and at the same time less than $5$ .
Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers greater than $-4$ , we use the > sign. For numbers less than $5$ , we use the < sign.
Combine conditions logically: Combine the two conditions using the correct logical connector. Since we want numbers that 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 greater than $-4$ and less than $5$ is \{x \mid x > -4 \text{ and } x < 5\}.
Match with choices: Match the correct set notation with the given choices. The correct choice that represents the set of numbers greater than $-4$ and less than $5$ is (D)\{x \mid x > -4 \text{ and } x < 5\}.