Which is the set of numbers less than -10 or greater than -8? Choices: (A){x | x -8} (B){x | x -8} (C){x | x ≤ -10 and x ≥ -8} (D){x | x ≤ -10 or x ≥ -8}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than -10 or greater than -8. The word ＂or＂ in mathematics means that we are looking for numbers that satisfy at least one of the conditions.Identify inequality signs: Identify the correct inequality signs for the conditions. For numbers less than -10, we use the ＂＂ sign.Translate into set notation: Translate the conditions into set notation. The set of numbers less than -10 is written as {x | x -8}.Combine sets using 'or': Combine the two sets using the ＂or＂ condition. In set notation, ＂or＂ is represented by the union symbol, which in this case is simply written as ＂or＂ in the choices provided. So, we combine the two sets to get {x | x -8}.Match with given choices: Match our combined set notation to the given choices. The correct set notation that represents numbers less than -10 or greater than -8 is (A){x | x -8}.

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Which is the set of numbers less than $-10$ or greater than $-8$ ? $\newline$ Choices: $\newline$ (A)\{x | x < -10 \text{ or } x > -8\} $\newline$ (B)\{x | x < -10 \text{ and } x > -8\} $\newline$ (C) $\{x | x \leq -10 \text{ and } x \geq -8\}$ $\newline$ (D) $\{x | x \leq -10 \text{ or } x \geq -8\}$

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Q. Which is the set of numbers less than

-10

or greater than

-8

\newline

Choices:

\newline

(A)

\{x | x < -10 \text{ or } x > -8\}

\newline

(B)

\{x | x < -10 \text{ and } x > -8\}

\newline

(C)

\{x | x \leq -10 \text{ and } x \geq -8\}

\newline

(D)

\{x | x \leq -10 \text{ or } x \geq -8\}

Understand the problem: Understand the problem. We need to find the set of numbers that are either less than $-10$ or greater than $-8$ . The word ＂or＂ in mathematics means that we are looking for numbers that satisfy at least one of the conditions.
Identify inequality signs: Identify the correct inequality signs for the conditions. For numbers less than $-10$ , we use the ＂<＂ sign. For numbers greater than $-8$ , we use the ＂>＂ sign.
Translate into set notation: Translate the conditions into set notation. The set of numbers less than $-10$ is written as \{x | x < -10\}. The set of numbers greater than $-8$ is written as \{x | x > -8\}.
Combine sets using 'or': Combine the two sets using the ＂or＂ condition. In set notation, ＂or＂ is represented by the union symbol, which in this case is simply written as ＂or＂ in the choices provided. So, we combine the two sets to get {x | x < -10 \text{ or } x > -8}.
Match with given choices: Match our combined set notation to the given choices. The correct set notation that represents numbers less than $-10$ or greater than $-8$ is (A)\{x \mid x < -10 \text{ or } x > -8\}.