Please pick up TWO colored pencils (different colors!)

Chapter 7: Systems of Equations & Inequalities 7.6 Systems of Linear Inequalities

System of Linear Inequalities Two or more linear inequalities working together The shaded regions overlap The solution to the system is the region shared by the two inequalities

Example 1 Solve by graphing:

Example 1a Solve by graphing:

Example 2 Write a system of linear inequalities for the graph:

Example 2a Write a system of linear inequalities for the graph:

Example 3 A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 ft, and the distance around it should be no more than 310 ft. What are the possible dimensions of the habitat?

Example 3a Suppose you want to fence a rectangular garden plot. You want the length of the garden to be at least 50 ft and the perimeter to be no more than 140 ft. Solve by graphing to show all of the possible dimensions of the garden.

Example 4 Suppose you need $2.40 in postage to mail a package to a friend. You have 9 stamps, some $.20 and some $.34. How many of each do you need to mail the package?

Homework P even, 32 (only part a and b)