INEQUALITIES (2 VARIABLES) Systems Of Inequalities (Page 1 of 3)

To graph the solution set for a system of inequalities, we begin by graphing the solution set for each individual inequality first. For example, let's graph the solution set for the system of inequalities y-2^x <= 1, x^2+4x+y > 0.

First solve each inequality for y: y <= 2^x+1, y > -x^2-4x. Then obtain the boundary equations by replacing the inequality symbols with an equality: y = 2^x+1, y = -x^2-4x. Graph each boundary curve as a separate function, and use a graphing style to shade the solution set to the individual inequality.
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