How do I solve this system of equations win inequalities?

Question

{y < 2x+2}
{y> -x + 1}

Answer 1

solve as if they were equations. The lines intersect at (-1/3, 4/3)

The solution is the area to the right of x = -1/3, below the blue line and above the red line.

see

http://www.wolframalpha.com/input/?i=plot+y+%3D+2x%2B2,+y+%3D+-x%2B1