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:
