In this article I suggest some alternatives to the solution test for the understanding of graphs of inequalities in two variables. Based on the work done with two groups of preservice secondary mathematics teachers, and by using the idea of variation and the framework of action and process conceptions of inequalities, I explain how graphs of inequalities can be viewed as a collection of rays or curves. I also explain the potential benefits of these alternative explanations in the solving of optimization problems and in the instruction of functions as a medium of one variable and two variable functions.
"Graphs of Two Variable Inequalities: Alternate Approaches to the Solution Test,"
The Mathematics Enthusiast: Vol. 16
, Article 7.
Available at: https://scholarworks.umt.edu/tme/vol16/iss1/7