What inequality represents this interval? [-4, ∞) Choices: (A)x > -4 (B)x < -4 (C)x ≤ -4 (D)x ≥ -4

Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is [-4, ∞), which means -4 is included (as indicated by the square bracket) and ∞ is not included (as indicated by the parenthesis).Determine Inequality: Determine the inequality that corresponds to the interval. Since -4 is included, the inequality must use either ≤ (less than or equal to) or ≥ (greater than or equal to). Since the interval extends to positive infinity, the inequality must allow for all numbers greater than or equal to -4.Match Correct Inequality: Match the correct inequality with the given choices. The interval [-4, ∞) corresponds to the inequality x ≥ -4, which means that x is greater than or equal to -4.

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What inequality represents this interval? $\newline$ $[-4, \infty)$ $\newline$ Choices: $\newline$ (A) x > -4 $\newline$ (B) x < -4 $\newline$ (C) $x \leq -4$ $\newline$ (D) $x \geq -4$

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Q. What inequality represents this interval?

\newline

[-4, \infty)

\newline

Choices:

\newline

(A)

x > -4

\newline

(B)

x < -4

\newline

(C)

x \leq -4

\newline

(D)

x \geq -4

Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is $[-4, \infty)$ , which means $-4$ is included (as indicated by the square bracket) and $\infty$ is not included (as indicated by the parenthesis).
Determine Inequality: Determine the inequality that corresponds to the interval. Since $-4$ is included, the inequality must use either $\leq$ (less than or equal to) or $\geq$ (greater than or equal to). Since the interval extends to positive infinity, the inequality must allow for all numbers greater than or equal to $-4$ .
Match Correct Inequality: Match the correct inequality with the given choices. The interval [-4, \infty)\] corresponds to the inequality \$x \geq -4, which means that $x$ is greater than or equal to $-4$ .