2.8 Two Variable Inequalities Learning goals graph two-variable inequalities

Linear Inequality Symbols boundary a line that separates the coordinate plane into two half-planes, one of which is the set of solutions of the inequality the inequality tells you to shade above or below the boundary

Ex 1 graph

A restaurant has only 15 eggs to last until the next delivery A restaurant has only 15 eggs to last until the next delivery. An order of scrambled eggs requires 2 eggs. An omelet requires 3 eggs. Write an inequality to model all possible combinations of orders of scrambled eggs and omelets the restaurant can fill until more eggs arrive. Graph the inequality. Ex 2

Ex 3 Graph:

Ex 4 Write an inequality for the graph below.

Ex 5 Write an inequality for the graph below.

Ex 6 You can tell from looking at the inequality to shade above the boundary line. Can you use the same technique to show the solution of the inequality ? Explain your reasoning.