1. 2.8 Two Variable Inequalities
Learning goals
graph two-variable inequalities

2. 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

3. Ex 1
graph

4. 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

5. Ex 3
Graph:

6. Ex 4
Write an inequality for the graph below.

7. Ex 5
Write an inequality for the graph below.

8. 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.