Welcome to GreeneMath.com, your source for free math help!
Systems of Linear Inequalities Test
About Systems of Linear Inequalities:

Once we have mastered graphing a linear inequality in two variables, we move into graphing a system of linear inequalities in two variables. In order to do this, we graph each inequality separately. We then look for sections of the coordinate plane, where the graphs overlap.

Test Objectives:

•Demonstrate the ability to graph a linear inequality in two variables

•Demonstrate the ability to graph a system of linear inequalities in two variables

•Demonstrate the ability to check the solution for a system of linear inequalities

Solving Systems of Linear Inequalities Test:




#1:


Instructions: Graph each system of linear inequalities.


a) x + 3y ≤ 6 : x - y ≤ 2


Watch the Step by Step Video Solution  
|
   View the Written Solution



#2:


Instructions: Graph each system of linear inequalities.


a) x > -1 : x - y ≤ 2


Watch the Step by Step Video Solution  
|
   View the Written Solution



#3:


Instructions: Graph each system of linear inequalities.


a) x - 2y > 4 : 2x - 4y > -8


Watch the Step by Step Video Solution  
|
   View the Written Solution



#4:


Instructions: Graph each system of linear inequalities.


a) x + y > 3 : x + y < -2


Watch the Step by Step Video Solution  
|
   View the Written Solution



#5:


Instructions: Graph each system of linear inequalities.


a) x - 2y > 2 : x - 2y ≤ 6


Watch the Step by Step Video Solution  
|
   View the Written Solution



Written Solutions:




#1:


Solution:


a)


graphing x + 3 is less than or equal to 6 along with x - y is less than or equal to 2
Watch the Step by Step Video Solution



#2:


Solution:


a)


graphing x is greater than -1 along with x -y is less than or equal to 2
Watch the Step by Step Video Solution



#3:


Solution:


a)


graphing x - 2y is greater than 4 along with 2x - 4y is greater than -8
Watch the Step by Step Video Solution



#4:


Solution:


a) no solution


Watch the Step by Step Video Solution



#5:


Solution:


a)


graphing x - 2y is greater than 2 along with x - 2y is less than or equal to 6
Watch the Step by Step Video Solution