Which is the set of numbers greater than 1 and less than or equal to 11? Choices: (A){x | x > 1 and x ≤ 11} (B){x | x 1 or x ≤ 11} (D){x | x < 1 or x ≥ 11}

Identify Inequality Signs: Identify the inequality signs for the conditions given in the question prompt. We need to find the set of numbers that are greater than 1 and at the same time less than or equal to 11. The inequality sign for ＂greater than 1＂ is >. The inequality sign for ＂less than or equal to 11＂ is ≤.Combine Inequalities: Combine the inequalities to form a compound inequality that represents the conditions given in the question prompt. The compound inequality that combines both conditions is: 1 1 and x ≤ 11}.Match with Choices: Match the set notation from Step 3 with the given choices. The correct choice that matches our set notation is: (A){x | x > 1 and x ≤ 11}.

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Which is the set of numbers greater than $1$ and less than or equal to $11$ ? $\newline$ Choices: $\newline$ (A)\{x | x > 1 \text{ and } x \leq 11\} $\newline$ (B)\{x | x < 1 \text{ and } x \geq 11\} $\newline$ (C)\{x | x > 1 \text{ or } x \leq 11\} $\newline$ (D)\{x | x < 1 \text{ or } x \geq 11\}

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Q. Which is the set of numbers greater than

1

and less than or equal to

11

\newline

Choices:

\newline

(A)

\{x | x > 1 \text{ and } x \leq 11\}

\newline

(B)

\{x | x < 1 \text{ and } x \geq 11\}

\newline

(C)

\{x | x > 1 \text{ or } x \leq 11\}

\newline

(D)

\{x | x < 1 \text{ or } x \geq 11\}

Identify Inequality Signs: Identify the inequality signs for the conditions given in the question prompt. $\newline$ We need to find the set of numbers that are greater than $1$ and at the same time less than or equal to $11$ . $\newline$ The inequality sign for ＂greater than $1$ ＂ is >. $\newline$ The inequality sign for ＂less than or equal to $11$ ＂ is $\leq$ .
Combine Inequalities: Combine the inequalities to form a compound inequality that represents the conditions given in the question prompt. $\newline$ The compound inequality that combines both conditions is: 1 < x \leq 11.
Translate to Set Notation: Translate the compound inequality into set notation. $\newline$ The set notation that represents the numbers greater than $1$ and less than or equal to $11$ is: \{x \mid x > 1 \text{ and } x \leq 11\}.
Match with Choices: Match the set notation from Step $3$ with the given choices. $\newline$ The correct choice that matches our set notation is: $\newline$ (A)\{x | x > 1 \text{ and } x \leq 11\}.