# How do you solve #3x-1<2 # or #-5x<-20 #?

##### 1 Answer

With the first inequality, first add

Then divide both sides by

With the second inequality, first add

Then add

Finally divide both sides by

Putting these together we have:

Notice what I did not do. I did not divide both sides of

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

(1) Add or subtract the same value on 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.