# Write a compound inequality that represents the following phrase? all real numbers that are between negative 5 and 3.

Feb 22, 2018

$- 5 < x < 3$

#### Explanation:

If a number is between -5 and 3, I always think of setting up the inequality exactly so (an x between a -5 and 3):

$- 5. . . x \ldots 3$

From here, put in the proper inequality symbols. X is larger than -5, so:

$- 5 < x \ldots 3$

X is smaller than 3, so:

$- 5 < x < 3$