Which is the set of numbers greater than -3 and less than 4? Choices: (A){x | x ≤ -3 and x ≥ 4} (B){x | x ≥ -3 and x ≤ 4} (C){x | x 4} (D){x | x > -3 and x < 4}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than -3 and also less than 4 at the same time.Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers greater than -3, we use the ＂>＂ sign. For numbers less than 4, we use the ＂ -3 and x -3 and x < 4} is the correct answer because it represents all numbers that are greater than -3 and less than 4.

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Which is the set of numbers greater than $-3$ and less than $4$ ? $\newline$ Choices: $\newline$ (A) $\{x | x \leq -3 \text{ and } x \geq 4\}$ $\newline$ (B) $\{x | x \geq -3 \text{ and } x \leq 4\}$ $\newline$ (C)\{x | x < -3 \text{ and } x > 4\} $\newline$ (D)\{x | x > -3 \text{ and } x < 4\}

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Q. Which is the set of numbers greater than

-3

and less than

4

\newline

Choices:

\newline

(A)

\{x | x \leq -3 \text{ and } x \geq 4\}

\newline

(B)

\{x | x \geq -3 \text{ and } x \leq 4\}

\newline

(C)

\{x | x < -3 \text{ and } x > 4\}

\newline

(D)

\{x | x > -3 \text{ and } x < 4\}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than $-3$ and also less than $4$ at the same time.
Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers greater than $-3$ , we use the > sign. For numbers less than $4$ , we use the < sign.
Combine conditions in set notation: Combine the two conditions with the correct inequality signs to form the set notation. The set notation should include both conditions: numbers greater than $-3$ and numbers less than $4$ .
Review and match choices: Review the choices given and find the one that matches our set notation from Step $3$ . The correct set notation should be \{x | x > -3 \text{ and } x < 4\}.
Match correct set notation: Match the correct set notation to the choices provided. Choice (D) {x | x > -3 \text{ and } x < 4} is the correct answer because it represents all numbers that are greater than $-3$ and less than $4$ .