“Come on! You really want me to graph all those inequalities in that list when I can’t even graph a “regular” equation?”, gasps the student. Say it’s not so!!!

Teacher says, “It’s true alright. It’s called a ‘system of inequalities’ and not only do I want you to graph them, I want you to graph them on the same graph!’

*“On top of each other?”* says the now panicking student.

“Yes. Then I want you to look at the area you have shaded (you *did* shade didn’t you?). Then find each vertex of the enclosed region.”

y>-1/2x+1

y<-3x+5

y<2x+2

Problems are taken from Advanced Math Concepts by Glencoe.

**Solution:** The three vertices are: (.6, 3.2) (-.4, 1.2) (1.6, .2)

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