How do you solve this system of equations: #y < -x+3, y >= x-2 #?

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Answer 1 · 2017-08-08T21:37:44

Lets find where the intersection point would be, if they were lines:

#y = -x+3#
#y = x-2#

#x-2=-x+3#

#2x=5#

#x = 5/2#

The solutions are a region below but not including the ray

#y = -x+3; x < 5/2#

and above and including the ray

#y = x-2;x < 5/2#

Here is a graph of the two inequalities:

www.desmos.com/calculator

The solution is the magenta region.