What does the set {x | x > -6 and x < -3} represent? Choices: (A)all numbers less than or equal to -6 and greater than or equal to -3 (B)all numbers greater than -6 and less than -3 (C)all numbers greater than or equal to -6 and less than or equal to -3 (D)all numbers greater than -6 and less than or equal to -3

Understand Set Notation: Understand the set notation and the conditions it represents. The set {x | x > -6 and x -6. This condition means that we are looking for numbers that are on the number line to the right of -6, but not including -6 itself.Analyze Second Condition: Analyze the second condition x < -3. This condition means that we are looking for numbers that are on the number line to the left of -3, but not including -3 itself.Combine Conditions: Combine both conditions to understand the set. Since we need numbers that satisfy both conditions, we are looking for numbers that are between -6 and -3, not including -6 and -3 themselves.Match Given Choices: Match the combined conditions to the given choices. The set of numbers that are greater than -6 and less than -3 is correctly represented by choice (B) all numbers greater than -6 and less than -3.

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What does the set \{x | x > -6 \text{ and } x < -3\} represent? $\newline$ Choices: $\newline$ (A)all numbers less than or equal to $-6$ and greater than or equal to $-3$ $\newline$ (B)all numbers greater than $-6$ and less than $-3$ $\newline$ (C)all numbers greater than or equal to $-6$ and less than or equal to $-3$ $\newline$ (D)all numbers greater than $-6$ and less than or equal to $-3$

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Q. What does the set

\{x | x > -6 \text{ and } x < -3\}

represent?

\newline

Choices:

\newline

(A)all numbers less than or equal to

-6

and greater than or equal to

-3

\newline

(B)all numbers greater than

-6

and less than

-3

\newline

(C)all numbers greater than or equal to

-6

and less than or equal to

-3

\newline

(D)all numbers greater than

-6

and less than or equal to

-3

Understand Set Notation: Understand the set notation and the conditions it represents. $\newline$ The set {x | x > -6 \text{ and } x < -3} describes all the numbers $x$ that satisfy two conditions simultaneously: $x$ must be greater than $-6$ and also less than $-3$ .
Analyze First Condition: Analyze the first condition x > -6. $\newline$ This condition means that we are looking for numbers that are on the number line to the right of $-6$ , but not including $-6$ itself.
Analyze Second Condition: Analyze the second condition x < -3. This condition means that we are looking for numbers that are on the number line to the left of $-3$ , but not including $-3$ itself.
Combine Conditions: Combine both conditions to understand the set. $\newline$ Since we need numbers that satisfy both conditions, we are looking for numbers that are between $-6$ and $-3$ , not including $-6$ and $-3$ themselves.
Match Given Choices: Match the combined conditions to the given choices. $\newline$ The set of numbers that are greater than $-6$ and less than $-3$ is correctly represented by choice (B) all numbers greater than $-6$ and less than $-3$ .