Which is the set of numbers less than or equal to 6 or greater than or equal to 12? Choices: (A){x | x 12} (B){x | x 12} (C){x | x ≤ 6 and x ≥ 12} (D){x | x ≤ 6 or x ≥ 12}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than or equal to 6 or greater than or equal to 12. This means we are looking for two separate ranges of numbers.Identify inequality signs: Identify the correct inequality signs. For numbers less than or equal to 6, we use the inequality sign ＂≤＂. For numbers greater than or equal to 12, we use the inequality sign ＂≥＂.Determine logical connector: Determine the logical connector. The problem asks for numbers that are either in one range or the other, which means we are looking for a union of two sets. The correct logical connector for a union is ＂or＂.Translate into set notation: Translate the problem into set notation. Using the inequality signs and the logical connector identified in the previous steps, we can write the set notation as {x | x ≤ 6 or x ≥ 12}.Match with choices: Match the set notation to the given choices. The correct set notation {x | x ≤ 6 or x ≥ 12} matches choice (D).

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Which is the set of numbers less than or equal to $6$ or greater than or equal to $12$ ? $\newline$ Choices: $\newline$ (A)\{x | x < 6 \text{ or } x > 12\} $\newline$ (B)\{x | x < 6 \text{ and } x > 12\} $\newline$ (C) $\{x | x \leq 6 \text{ and } x \geq 12\}$ $\newline$ (D) $\{x | x \leq 6 \text{ or } x \geq 12\}$

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Q. Which is the set of numbers less than or equal to

6

or greater than or equal to

12

\newline

Choices:

\newline

(A)

\{x | x < 6 \text{ or } x > 12\}

\newline

(B)

\{x | x < 6 \text{ and } x > 12\}

\newline

(C)

\{x | x \leq 6 \text{ and } x \geq 12\}

\newline

(D)

\{x | x \leq 6 \text{ or } x \geq 12\}

Understand the problem: Understand the problem. $\newline$ We need to find the set of numbers that are either less than or equal to $6$ or greater than or equal to $12$ . This means we are looking for two separate ranges of numbers.
Identify inequality signs: Identify the correct inequality signs. $\newline$ For numbers less than or equal to $6$ , we use the inequality sign $\leq$ . For numbers greater than or equal to $12$ , we use the inequality sign $\geq$ .
Determine logical connector: Determine the logical connector. $\newline$ The problem asks for numbers that are either in one range or the other, which means we are looking for a union of two sets. The correct logical connector for a union is $\text{“or”}$ .
Translate into set notation: Translate the problem into set notation. $\newline$ Using the inequality signs and the logical connector identified in the previous steps, we can write the set notation as ${x | x \leq 6 \text{ or } x \geq 12}$ .
Match with choices: Match the set notation to the given choices. $\newline$ The correct set notation ${x | x \leq 6 \text{ or } x \geq 12}$ matches choice (D).