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

Answer 1

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

#-10 < s < 0#

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 #>#, #>=# becomes #<=#, etc.).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Nathan Axel

To solve -5 < s + 5 < 5, subtract 5 from all parts of the inequality: -5 - 5 < s + 5 - 5 < 5 - 5, which simplifies to -10 < s < 0.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve -5&lt;s+5&lt;5?

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