Essential Understanding: Graphing an inequality in two variable is similar to graphing a line. The graph of a linear inequality contains all points on one side of the line and may not include the points on the line. Objectives: Students will be able to graph two-variable inequalities
Algebra A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Functions F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★
Linear Inequality: an inequality in two variables whose graph is a region of the coordinate plane bounded by a line known as the boundary line. The boundary line separates the graph into two half planes, one of which consists of solutions to the inequality.
To determine where to shade, pick a test point that is not on the boundary line. If that point satisfies the inequality, shade the half plane that includes the test point. If that point does not satisfies the inequality, shade the half plane that doesn’t include the test point.