SOLUTION: I am having trouble and need some help with this problem. Solve the system of linear inequalities by graphing. y<x+4 2x+y<-4 Thank you very much

Algebra ->  Linear-equations -> SOLUTION: I am having trouble and need some help with this problem. Solve the system of linear inequalities by graphing. y<x+4 2x+y<-4 Thank you very much      Log On


   

Question 198371: I am having trouble and need some help with this problem.
Solve the system of linear inequalities by graphing.
y 2x+y<-4
Thank you very much
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


For each of your equations, do the following:

1. Change the inequality sign to an equal sign and graph the resulting line. In both cases, use a dashed line because neither of the inequality signs is inclusive of equals. I.e., they are signs rather than signs.

2. Test the point (0,0) in the original inequality to determine if the origin is or is not an element of the solution set of the inequality. If substituting 0 for and 0 for results in a true statement, shade in the entire half-plane on the side of the line containing the origin. If it results in a false statement, shade in the side of the line that does not contain the origin.

Once you have completed the above for both of your inequalities, you will have two shaded regions that overlap. The overlap region is your solution set.

John