DrDelMath

SUPPLEMENT
Solution Sets for Inequalities


The solution of a first degree inequality in one variable will be one of the four rays whose graphs are similar to:
                

                 

The only thing different in different solutions is the number designating the endpoint of the ray.

In the solving process we determine the endpoint, determine whether it is included in the solution set, and determine which direction the solution set extends from the endpoint.


The solution of a first degree compound inequality formed by the word AND in one variable will be the empty set or one of the four intervals whose graphs are similar to the ones shown here:
                
                
The empty set is denoted by the symbol

The solution of a first degree compound inequality formed by the word OR in one variable will be the set of Real Numbers or one of the eight rays whose graphs are similar to the ones shown here: