How do you graph the inequality #y> -x^2+10x-23#?
Make a table of the points and plot them.
Whether using manual calculations and graph paper of a calculation program, at some point the calculations must be made to generate the points for the graph. For an inequality we then select any point on one side or another of the equation line and see if it satisfies the inequality conditions. The area that includes the solutions is shaded. The equation line is dotted for an inequality, and solid if it is an equality.