Objective: Graph solutions of linear inequalities on the coordinate plane.
Solutions of a linear inequality containing two variables can be represented through a graph on the coordinate plane. The shaded region of the graph represents the area containing the solutions of the inequality. For a linear inequality, this shaded area will be on one side of a line that is called the boundary line. All of the points on one side of the boundary line are solutions, while all of the points on the other side of the boundary line are not solutions.
The graphs of inequalities containing two variables on the coordinate plane are analogous to the graphs of inequalities containing one variable on a number line, as shown in the table below.
Watch the video below to see some examples of how to graph the solutions of an inequality on the coordinate plane.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.