# How do you solve -5<s+5<5?

Jul 8, 2015

Subtract $5$ from all three parts of the compound inequality to get:

$- 10 < s < 0$

#### Explanation:

In general you can perform any of the following operations on an inequality and preserve its truth:

(1) Add or subtract the same value from both sides.
(2) Multiply or divide both sides by the same positive value.
(3) Multiply or divide both sides by the same negative value and reverse the inequality ($<$ becomes $>$, $\ge$ becomes $\le$, etc.).