Write a compound inequality that represents the following phrase. Graph the solutions.

Question

all real numbers that are between -2 and 7

A. - 2 < n < 7 B. - 2 <= n < 7

C. - 2 < n <= 7 D. - 2 <= n <= 7

Answer 1

The correct compound inequality that represents the given phrase is D. -2 <= n <= 7.

To graph the solutions, we will first graph the number line. Then, we will mark the points -2 and 7 on the number line and shade the interval between them. The shaded region represents all the real numbers that are between -2 and 7.

<--o--------------o-----------------------------------o-->

-2 7

The shaded region between the two points -2 and 7 represents the solutions to the compound inequality -2 <= n <= 7.