SOLUTION: Graph the system of inequalities (shade each half-plane solution not only the overall solution). y ≤ 3/2 x + 3 2x + y < 10 y > -1 Could someone please explain to me how I

Algebra ->  Inequalities -> SOLUTION: Graph the system of inequalities (shade each half-plane solution not only the overall solution). y ≤ 3/2 x + 3 2x + y < 10 y > -1 Could someone please explain to me how I       Log On


   

Question 1137882: Graph the system of inequalities (shade each half-plane solution not only the overall solution).
y ≤ 3/2 x + 3
2x + y < 10
y > -1
Could someone please explain to me how I could solve this problem?
Thank you very much in advance for your help.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+%3C=+%283%2F2%29+x+%2B+3
2x+%2B+y+%3C+10
y+%3E+-1+
separately, you have

y+%3C=+%283%2F2%29+x+%2B+3:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+y+%3C=+%283%2F2%29+x+%2B+3%29+

2x+%2B+y+%3C+10:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B+y+%3C+10%29+

y+%3E+-1+:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+y+%3E+-1%29+

all together look like this:
Image and video hosting by TinyPic

The solution to the system will be the area where the shadings from each inequality overlap one another.