"Which is the set of numbers less than –13? Choices: [[{x|x = -13}][{x|x -13}][{x|x <= -13}]]"

Understand Question: Let's first understand the question. We are looking for a set of numbers that are strictly less than -13, not equal to or greater than -13.Examine Choices: Now, let's examine the choices given to identify which set notation correctly represents numbers less than -13.Evaluate First Choice: The first choice is {x|x = -13}. This set contains only the number -13, which does not satisfy our condition of being less than -13.Evaluate Second Choice: The second choice is {x|x -13}. This set contains all numbers that are greater than -13, which is the opposite of what we are looking for.Evaluate Fourth Choice: The fourth choice is {x|x <= -13}. This set contains all numbers that are less than or equal to -13. While it includes numbers less than -13, it also incorrectly includes -13 itself.Identify Correct Set: Therefore, the correct set that represents all numbers less than -13 is the second choice: {x|x < -13}.

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Which is the set of numbers less than $-13$ ? $\newline$ Choices: $\newline$ (A) $\{x|x = -13\}$ $\newline$ (B)\{x|x < -13\} $\newline$ (C)\{x|x > -13\} $\newline$ (D) $\{x|x \leq -13\}$

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Q. Which is the set of numbers less than

-13

\newline

Choices:

\newline

(A)

\{x|x = -13\}

\newline

(B)

\{x|x < -13\}

\newline

(C)

\{x|x > -13\}

\newline

(D)

\{x|x \leq -13\}

Understand Question: Let's first understand the question. We are looking for a set of numbers that are strictly less than $-13$ , not equal to or greater than $-13$ .
Examine Choices: Now, let's examine the choices given to identify which set notation correctly represents numbers less than $-13$ .
Evaluate First Choice: The first choice is ${x|x = -13}$ . This set contains only the number $-13$ , which does not satisfy our condition of being less than $-13$ .
Evaluate Second Choice: The second choice is {x|x < -13}. This set contains all numbers that are less than $-13$ , which exactly matches our requirement.
Evaluate Third Choice: The third choice is {x|x > -13}. This set contains all numbers that are greater than $-13$ , which is the opposite of what we are looking for.
Evaluate Fourth Choice: The fourth choice is ${x|x \leq -13}$ . This set contains all numbers that are less than or equal to $-13$ . While it includes numbers less than $-13$ , it also incorrectly includes $-13$ itself.
Identify Correct Set: Therefore, the correct set that represents all numbers less than $-13$ is the second choice: \{x|x < -13\}.