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

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) (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

RELATED QUESTIONS
I need some help with these graph problems. I would appreciate some help with solving... (answered by jim_thompson5910)

I am having so mush trouble trying to figure out first what to do with this problem, I... (answered by ewatrrr)

I need help with these problems, most of them do need to be graphed. I want to thank the (answered by Edwin McCravy)

I need you to help with a graphical method. I do not understand it or algebra to beging... (answered by mananth)

solve the system by graphing x+y=4 -x+y=2 problem #2 2x + y = 4 x + y = 3 I... (answered by Nate)

Sorry Tutor this is not from a book. I am having difficulties with this problems could... (answered by jim_thompson5910)

Can you help me solve the system of linear inequalities by graphing? x+y<6 y>or=3x-4 (answered by benni1013)

I am having trouble solving each system by graphing. y= x+4 y=... (answered by stanbon)

if I am graphing a system of linear inequalities how would I solve then graph y<2x+4... (answered by mananth)