Systems of Inequalities in Two Variables

From Department of Mathematics at UTSA
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A system of inequalities in two variables consists of two or more inequalities with the same two variables, typically x and y. These systems can have zero solutions, one solution, multiple (but finite) solutions, or an infinite number of solutions. It is often helpful to graph system of inequalities in two variables, as the solutions of the system will be the points/lines/regions where all inequalities in the system overlap.

Examples:

  • ,
  • , ,
  • ,

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