Which is the set of numbers less than -12 or greater than 3? Choices: (A){x | x > -12 or x 3} (D){x | x ≤ -12 or x ≥ -3}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than -12 or greater than 3.Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers less than -12, we use the ＂＂ sign.Translate into set notation: Translate the conditions into set notation. The set of numbers less than -12 is written as {x | x 3}.Combine conditions with OR operator: Combine the two conditions using the ＂or＂ operator, as we are looking for numbers that satisfy either one of the conditions. The combined set notation is {x | x 3}.Match with given choices: Match the combined set notation with the given choices. The correct choice is (C){x | x 3}.

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Which is the set of numbers less than $-12$ or greater than $3$ ? $\newline$ Choices: $\newline$ (A)\{x | x > -12 \text{ or } x < -3\} $\newline$ (B) $\{x | x \geq -12 \text{ or } x \leq -3\}$ $\newline$ (C)\{x | x < -12 \text{ or } x > 3\} $\newline$ (D) $\{x | x \leq -12 \text{ or } x \geq -3\}$

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Q. Which is the set of numbers less than

-12

or greater than

3

\newline

Choices:

\newline

(A)

\{x | x > -12 \text{ or } x < -3\}

\newline

(B)

\{x | x \geq -12 \text{ or } x \leq -3\}

\newline

(C)

\{x | x < -12 \text{ or } x > 3\}

\newline

(D)

\{x | x \leq -12 \text{ or } x \geq -3\}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than $-12$ or greater than $3$ .
Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers less than $-12$ , we use the ＂<＂ sign. For numbers greater than $3$ , we use the ＂>＂ sign.
Translate into set notation: Translate the conditions into set notation. The set of numbers less than $-12$ is written as \{x | x < -12\}. The set of numbers greater than $3$ is written as \{x | x > 3\}.
Combine conditions with OR operator: Combine the two conditions using the ＂or＂ operator, as we are looking for numbers that satisfy either one of the conditions. The combined set notation is {x | x < -12 \text{ or } x > 3}.
Match with given choices: Match the combined set notation with the given choices. The correct choice is (C){x | x < -12 \text{ or } x > 3}.