Question

Which graph represents the solution set of the system of inequalities?
y<−3x−2
y≤x−2

Answer 1

It would be the first graph

That is because the 2nd and 3rd graphs start at a point close to (0,-2) but it is not the correct point.

Now using (0,0) as a solution plug it in for the x and y values like so

0 <−3(0)−2 = 0 < -2

0 ≤ 0 −2 = 0 ≤ -2

This does not work so solutions from (0,0) up cannot be solutions, so the first graph must be the right answer.