What inequality represents this interval? (-∞, -2] Choices: (A)x -2 (D)x ≥ -2

Identify Endpoints: Identify the endpoints of the interval and whether they are included in the set. The interval (-∞, -2] has -∞ as the lower bound and -2 as the upper bound. The square bracket at -2 indicates that -2 is included in the interval.Determine Inequality: Determine the inequality that corresponds to the interval. Since -∞ is not a number that can be reached, it is not included, and the inequality will not have an equal sign for the lower bound. However, because -2 is included, the inequality must have an equal sign for -2.Choose Symbol: Choose the correct inequality symbol. The interval extends from negative infinity up to and including -2, which means the values that x can take are less than or equal to -2.Match Inequality: Match the correct inequality with the given choices. The inequality that represents the interval (-∞, -2] is ＂x ≤ -2＂.

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What inequality represents this interval? $\newline$ $(-\infty, -2]$ $\newline$ Choices: $\newline$ (A) x < -2 $\newline$ (B) $x \leq -2$ $\newline$ (C) x > -2 $\newline$ (D) $x \geq -2$

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Q. What inequality represents this interval?

\newline

(-\infty, -2]

\newline

Choices:

\newline

(A)

x < -2

\newline

(B)

x \leq -2

\newline

(C)

x > -2

\newline

(D)

x \geq -2

Identify Endpoints: Identify the endpoints of the interval and whether they are included in the set. The interval $(-\infty, -2]$ has $-\infty$ as the lower bound and $-2$ as the upper bound. The square bracket at $-2$ indicates that $-2$ is included in the interval.
Determine Inequality: Determine the inequality that corresponds to the interval. Since $-\infty$ is not a number that can be reached, it is not included, and the inequality will not have an equal sign for the lower bound. However, because $-2$ is included, the inequality must have an equal sign for $-2$ .
Choose Symbol: Choose the correct inequality symbol. The interval extends from $-\infty$ up to and including $-2$ , which means the values that $x$ can take are less than or equal to $-2$ .
Match Inequality: Match the correct inequality with the given choices. The inequality that represents the interval -\infty, -2]\ is \＂\$x \leq -2\＂.