x + 2y < -5
x - y > 0
Describe the steps to graph the solution set to the system of inequalities
First rewrite them as
y<-(5+x)/2
y<x
Then plot y=-(5+x)/2 and y=x and shade in the region below both curves (which is the region that satisfies both inequalities):
The red shaded area is where both inequalities are satisfied simultaneously (of course this region should cover the
range -∞<x<∞ in principle, but it is infeasible to plot all of that!)
First rewrite them as
y<-(5+x)/2
y<x
Then plot y=-(5+x)/2 and y=x and shade in the region below both curves (which is the region that satisfies both inequalities):
The red shaded area is where both inequalities are satisfied simultaneously (of course this region should cover the
range -∞<x<∞ in principle, but it is infeasible to plot all of that!)