How do you solve #3x-1<2 # or #-5x<-20 #?
With the first inequality, first add
Then divide both sides by
With the second inequality, first 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.