Which is the set of numbers greater than 13 and less than or equal to 23? Choices: (A){x | x > 13 or x ≤ 23} (B){x | x ≥ 13 or x ≤ 23} (C){x | x ≤ 13 and x ≥ 23} (D){x | x > 13 and x ≤ 23}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than 13 and at the same time less than or equal to 23.Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers greater than 13, we use the ＂>＂ sign. For numbers less than or equal to 23, we use the ＂≤＂ sign.Combine conditions logically: Combine the two conditions using the correct logical operator. Since a number has to satisfy both conditions at the same time, we use the ＂and＂ operator, not the ＂or＂ operator.Write set notation: Write the set notation combining both conditions. The correct set notation is {x | x > 13 and x ≤ 23}.Match correct choice: Match the correct set notation with the given choices. The correct choice is (D){x | x > 13 and x ≤ 23}.

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Which is the set of numbers greater than $13$ and less than or equal to $23$ ? $\newline$ Choices: $\newline$ (A)\{x | x > 13 \text{ or } x \leq 23\} $\newline$ (B) $\{x | x \geq 13 \text{ or } x \leq 23\}$ $\newline$ (C) $\{x | x \leq 13 \text{ and } x \geq 23\}$ $\newline$ (D)\{x | x > 13 \text{ and } x \leq 23\}

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Q. Which is the set of numbers greater than

13

and less than or equal to

23

\newline

Choices:

\newline

(A)

\{x | x > 13 \text{ or } x \leq 23\}

\newline

(B)

\{x | x \geq 13 \text{ or } x \leq 23\}

\newline

(C)

\{x | x \leq 13 \text{ and } x \geq 23\}

\newline

(D)

\{x | x > 13 \text{ and } x \leq 23\}

Understand the problem: Understand the problem. We need to find the set of numbers that are greater than $13$ and at the same time less than or equal to $23$ .
Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers greater than $13$ , we use the > sign. For numbers less than or equal to $23$ , we use the $\leq$ sign.
Combine conditions logically: Combine the two conditions using the correct logical operator. Since a number has to satisfy both conditions at the same time, we use the $\text{“and”}$ operator, not the $\text{“or”}$ operator.
Write set notation: Write the set notation combining both conditions. The correct set notation is {x | x > 13 \text{ and } x \leq 23}.
Match correct choice: Match the correct set notation with the given choices. The correct choice is (D)\{x | x > 13 \text{ and } x \leq 23\}.