what is a compound inequality that represents all real numbers that are greater than - 8 but less than 8

The inequality is "-8 < x - 8 and x < 8

Step-by-step explanation:

In this case there are two inequalities. The first one is for all real numbers that are greater than - 8. In this case we will represent the real numbers as "x" and this inequality can be represented as:

x > - 8

The second inequality is for all real numbers that are less than 8, this can be represented as:

x < 8

To create the compound inequality we have two use both of the inqualities above:

-8 < x < 8

x > - 8 and x < 8

In this case we use and because the real number must satisfy both inequalities at the same time.