Question

A system of linear inequalities is shown below.

x - y > 3
y + x ≤ 2

Describe the steps to graph the solution set to the system of inequalities.

Answer 1

The first eqaution gives you y > x - 3....So graph the line y = x - 3 and shade the region where y is greater than that line.
The second eqaution gives you y < or = to -x + 2...So draw a dotted (because or equal to) line y = -x +2 and shade the region where y is less than.

Ok now the region that is shade from both eqautions satisfy both ineqaulities and you can distinctivly shade that as your final answer

Answer 2

well I always thought > or < needed a dotted line and

>= or <= needed a solid line...

Answer 3

I'd say, for the intercepts for both lines
plot the intercepts
draw the appropriate line, solid or dotted
shade the region.... testing with a point like (1,1) to check
the common region will contain both shadings