December 13, 2013 66 : Solving Systems of Linear Inequalities System of Linear Inequalities (System of Inequalities) Solution of a System of Inequalities To solve a system of inequalities, we are going solve by graphing, like we did on the ;irst day. The major difference is instead of having _________ solution we will have a _______________ of solutions. We will graph much like we learned how to last class period. The biggest difference for a linear inequality is the appearance of the graph. The Line: When graphing the line of an inequality: If the inequality has a or use a . If the inequality has a < or > use a . The Shading: When graphing a linear inequality we need to shade our graph to represent our _________________ set. If the inequality has a < or shade . If the inequality has a > or shade . Ex. 1 Determine in the following systems the kind of line/ shading each line has:
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
-
December 13, 2013
6-‐6 : Solving Systems of Linear Inequalities
System of Linear Inequalities (System of Inequalities) -‐
Solution of a System of Inequalities -‐
To solve a system of inequalities, we are going solve by graphing, like we did on the ;irst day.
The major difference is instead of having _________ solution we will have a _______________ of solutions. We will graph much like we learned how to last class period.
The biggest difference for a linear inequality is the appearance of the graph.
The Line: When graphing the line of an inequality:
If the inequality has a or use a .
If the inequality has a < or > use a .
The Shading: When graphing a linear inequality we need to shade our graph to represent our _________________ set.
If the inequality has a < or shade .
If the inequality has a > or shade .
Ex. 1 Determine in the following systems the kind of line/shading each line has:
-
December 13, 2013
To ;ind the solution to a system of inequalities we want to look for where the ________________ of each line ______________________.
The solution will be where ____________ shadings overlap. Remember the ______________ to an inequality is a ______________________.
It is possible for a system of linear inequalities to have ___________ solution.
This means that the ______________________ does not overlap at all.
To solve a system of Inequalities:1. _____________ each equation is ________-‐_______________ form.
2. ______________ each equation on the coordinate plane.
If the inequality has a or use a .
If the inequality has a < or > use a .
If the inequality has a < or shade .
If the inequality has a > or shade .
3. ________________ the graph according to the inequalities
4. The _________________ to the system is where the _______________ overlaps.
Ex. 2 Solve the following systems by graphing:Ex. 2 Solve the following systems by graphing:
-
December 13, 2013
Ex. 2 Solve the following systems by graphing: Ex. 2 Solve the following systems by graphing:
Application problems:
The theater club is selling shirts. They have only enough supplies to print 120 shirts. They will sell sweatshirts for $22 and T-‐shirts for $15, with a goal of at least $2000 in sales.
A. De;ine the variables, and write a system of inequalities to represent this situation.
B. Graph the system:
C. Name one possible solution.
D. Is (45, 30) a solution?
Related Documents
