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

Identify Endpoints and Inclusion: Identify the endpoints of the interval and whether they are included in the interval. The interval is [-4, 4], which means that both endpoints, -4 and 4, are included.Translate to Inequality: Translate the interval notation into an inequality. Since -4 is included, the inequality must use ＂≤＂ for the lower bound. Since 4 is included, the inequality must also use ＂≤＂ for the upper bound. Therefore, the inequality should express that x is greater than or equal to -4 and less than or equal to 4.Match with Choices: Match the correct inequality with the given choices. The inequality that represents the interval [-4, 4] is -4 ≤ x ≤ 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Full solution

Q. What inequality represents this interval?

\newline

[-4, 4]

\newline

Choices:

\newline

(A)

-4 \leq x < 4

\newline

(B)

-4 < x < 4

\newline

(C)

-4 < x \leq 4

\newline

(D)

-4 \leq x \leq 4

Identify Endpoints and Inclusion: Identify the endpoints of the interval and whether they are included in the interval. The interval is $[-4, 4]$ , which means that both endpoints, $-4$ and $4$ , are included.
Translate to Inequality: Translate the interval notation into an inequality. Since $-4$ is included, the inequality must use ＂ $ext{≤}$ ＂ for the lower bound. Since $4$ is included, the inequality must also use ＂ $ext{≤}$ ＂ for the upper bound. Therefore, the inequality should express that $x$ is greater than or equal to $-4$ and less than or equal to $4$ .
Match with Choices: Match the correct inequality with the given choices. The inequality that represents the interval $[-4, 4]$ is $-4 \leq x \leq 4$ .