The discussion focuses on graphing the inequality |z| > 3 on the complex plane. Participants clarify that |z| represents the distance from the origin, indicating that the graph should depict all points outside a circle with a radius of 3. Dan suggests drawing the circle for |z| = 3 and shading the area outside to visually represent the solution. This method effectively illustrates the concept of values for z that satisfy the inequality.
PREREQUISITESStudents studying complex analysis, educators teaching graphing techniques, and anyone interested in visualizing inequalities in the complex plane.
I think the simplest way to graph this is to draw the circle |z| = 3, then shade the outside of the circle. It's not perfect, but it gets the idea across.Raerin said:I understand that, but I have no idea how the graph should look like. I don't know how to draw it to illustrate that the radius is greater than 3.