How do you graph the inequality #y<= x - 5# and #y>=-x - 4#?

1 Answer
Aug 1, 2016

Considered as a system of 2 inequalities, the graph is a quarter-plane area below line #y=x-5# and above #y=-x-4# (including the border).

Explanation:

We have to construct an intersection of two half-planes.

One is below (because of sign of inequality #<=#) line #y=x-5#
graph{x-5 [-10, 10, -5, 5]}

Another - above (because of sign of inequality #>=#) line #y=-x-4#
graph{-x-4 [-10, 10, -5, 5]}

The intersection of these two areas is an East-oriented (towards the right hand side from a point of intersection of these two lines) quarter-plane, including its border.