System of First-Degree Inequalities in One Variable

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 ∅.

systeme_inequation_premier

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[.

systeme_inequation_premier

 

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