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

Question

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 ≥ -3 and x ≤ 4} (D){x | x > -3 and x < 4}

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Understand the problem: Understand the problem. We need to find the set of numbers that are greater than -3 and also less than 4.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 using 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 choices: Review the choices given and find the one that matches our set notation from Step 3. (A) {x | x ≤ -3 and x ≥ 4} does not match because it includes numbers less than or equal to -3 and greater than or equal to 4, which is not what we want. (B) {x | x < -3 and x > 4} does not match because it includes numbers less than -3 and greater than 4, which is also not what we want. (C) {x | x ≥ -3 and x ≤ 4} does not match because it includes numbers equal to -3 and 4, which is not strictly greater or less than these numbers. (D) {x | x > -3 and x < 4} matches our set notation because it includes numbers strictly greater than -3 and strictly less than 4.

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 < -3 \text{ and } x > 4\} $\newline$ (C) $\{x | x \geq -3 \text{ and } x \leq 4\}$ $\newline$ (D)\{x | x > -3 \text{ and } x < 4\}

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