Which is the set of numbers less than or equal to 6 or greater than or equal to 12? Choices: (A){x | x ≤ 6 and x ≥ 12} (B){x | x ≤ 6 or x ≥ 12} (C){x | x 12} (D){x | 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 each condition. For numbers less than or equal to 6, we use ＂x ≤ 6＂. For numbers greater than or equal to 12, we use ＂x ≥ 12＂.Determine logical connector: Determine the logical connector between the two conditions. Since the problem asks for numbers that satisfy either condition, we use the logical ＂or＂ to connect them.Translate into set notation: Translate the conditions into set notation. We combine the two conditions using the ＂or＂ connector, which gives us the set notation {x | x ≤ 6 or x ≥ 12}.Match set notation: Match the set notation to the given choices. The correct set notation that represents the set of numbers less than or equal to 6 or greater than or equal to 12 is (B){x | x ≤ 6 or x ≥ 12}.

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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) $\{x | x \leq 6 \text{ and } x \geq 12\}$ $\newline$ (B) $\{x | x \leq 6 \text{ or } x \geq 12\}$ $\newline$ (C)\{x | x < 6 \text{ or } x > 12\} $\newline$ (D)\{x | x < 6 \text{ and } x > 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 \leq 6 \text{ and } x \geq 12\}

\newline

(B)

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

\newline

(C)

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

\newline

(D)

\{x | x < 6 \text{ and } 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 each condition. For numbers less than or equal to $6$ , we use $x \leq 6$ . For numbers greater than or equal to $12$ , we use $x \geq 12$ .
Determine logical connector: Determine the logical connector between the two conditions. Since the problem asks for numbers that satisfy either condition, we use the logical ＂or＂ to connect them.
Translate into set notation: Translate the conditions into set notation. We combine the two conditions using the ＂or＂ connector, which gives us the set notation ${x | x \leq 6 \text{ or } x \geq 12}$ .
Match set notation: Match the set notation to the given choices. The correct set notation that represents the set of numbers less than or equal to $6$ or greater than or equal to $12$ is (B) $\{x | x \leq 6 \text{ or } x \geq 12\}$ .