System of First-Degree Inequalities in One Variable
Two simultaneously applied first-degree relationships in one variable constitute a system of first-degree inequalities in one variable.
Properties
If the two inequalities are incompatible, there is no solution.- Consider these inequalities: x > 1 and x < 1; the solution set is ∅.
If the two inequalities are compatible, then there is a solution set.
- Consider these inequalities: x > 1 and x < 3; the solution set is ]1, 3[.
