Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.

Question

y≤−3x−1

y>x−5

Answer 1

Basically you want to graph the two equations.

y = -3x - 5

y = x - 5

Once they're graphed, shade the portion below the first graph including the line (for <=). And shade the portion above the line y = x - 5 (for > ) but does not include the graph. Perhaps you can draw a dotted line for the bottom line and a solid line for the top line.