Which is the set of numbers greater than or equal to -6 and less than 0? Choices: (A){x | x ≤ -6 or x ≥ 0} (B){x | x ≤ -6 or x > 0} (C){x | x ≥ -6 and x -6 or x < 0}

Understand the problem: Understand the problem. We are looking for a set of numbers that are greater than or equal to -6 and at the same time less than 0. This means we are looking for an intersection of two sets: one that includes numbers greater than or equal to -6, and another that includes numbers less than 0.Identify first inequality: Identify the correct inequality for the first condition. The inequality for numbers greater than or equal to -6 is x ≥ -6.Identify second inequality: Identify the correct inequality for the second condition. The inequality for numbers less than 0 is x < 0.Combine inequalities: Combine the two inequalities to represent the intersection of the two sets. The correct set notation for numbers that satisfy both conditions is {x | x ≥ -6 and x < 0}.Match combined inequality: Match the combined inequality to the correct choice. The correct choice that represents the set of numbers greater than or equal to -6 and less than 0 is (C){x | x ≥ -6 and x < 0}.

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Which is the set of numbers greater than or equal to $-6$ and less than $0$ ? $\newline$ Choices: $\newline$ (A) $\{x | x \leq -6 \text{ or } x \geq 0\}$ $\newline$ (B) \{x | x \leq -6 \text{ or } x > 0\} $\newline$ (C) \{x | x \geq -6 \text{ and } x < 0\} $\newline$ (D) \{x | x > -6 \text{ or } x < 0\}

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Q. Which is the set of numbers greater than or equal to

-6

and less than

0

\newline

Choices:

\newline

(A)

\{x | x \leq -6 \text{ or } x \geq 0\}

\newline

(B)

\{x | x \leq -6 \text{ or } x > 0\}

\newline

(C)

\{x | x \geq -6 \text{ and } x < 0\}

\newline

(D)

\{x | x > -6 \text{ or } x < 0\}

Understand the problem: Understand the problem. We are looking for a set of numbers that are greater than or equal to $-6$ and at the same time less than $0$ . This means we are looking for an intersection of two sets: one that includes numbers greater than or equal to $-6$ , and another that includes numbers less than $0$ .
Identify first inequality: Identify the correct inequality for the first condition. The inequality for numbers greater than or equal to $-6$ is $x \geq -6$ .
Identify second inequality: Identify the correct inequality for the second condition. The inequality for numbers less than $0$ is x < 0.
Combine inequalities: Combine the two inequalities to represent the intersection of the two sets. The correct set notation for numbers that satisfy both conditions is {x | x \geq -6 \text{ and } x < 0}.
Match combined inequality: Match the combined inequality to the correct choice. The correct choice that represents the set of numbers greater than or equal to $-6$ and less than $0$ is (C)\{x | x \geq -6 \text{ and } x < 0\}.