Bellwork Write a “system” of inequalities for the shaded region in the graph at right. (Hint: you should have 4!)

3-3 Systems of Inequalities (p. 133) Algebra 2 Prentice Hall, 2007

Objectives You will… Solve a system of linear inequalities by graphing. Model a real-world example with a system in inequalities and solve it by graphing.

Solving To solve a system of inequalities: Ex. 1 Solve the system: Graph and shade each inequality on the same coordinate plane. The “overlapping” part is the solution of the system. Ex. 1 Solve the system:

Solving

Solving Ex. 2 Solve the system

Real-World Example Ex. 3 You are in charge of a fall bake sale fundraiser. You want to bake at least 6 and at most 11 loaves of bread. You also want at least twice as many loaves of pumpkin bread as cranberry bread. Write a system of inequalities to model this situation. Graph the system to find the solution set. Analyze your graph to be sure you know how many loaves of each type of bread you should bake.

Real-World Example Ex. 3 You are in charge of a fall bake sale fundraiser. You want to bake at least 6 and at most 11 loaves of bread. You also want at least twice as many loaves of pumpkin bread as cranberry bread. Write a system of inequalities to model this situation. HINTS: • Define your variables 1st! • Write as many inequalities as necessary.

Real-World Example Ex. 3 contin. Write a system of inequalities to model this situation. Graph the system to find the solution set. HINT: Declare an independent vs. dependent variable!

Real-World Example Ex. 3 contin.

Real-World Example Ex. 3 contin. Write a system of inequalities to model this situation. Graph the system to find the solution set. Analyze your graph to be sure you know how many loaves of each type of bread you should bake. HINT: Since you can’t bake half a loaf, the solution is a “finite” set. List ALL the possible combinations!

Assignment 3-3 p. 136: mo6 (6-24); 40, 45, 49 or 52 b