### Home > CCA2 > Chapter C > Lesson C.1.2 > ProblemC-40

C-40.

Graph and shade the solution for the system of inequalities below. C-40 HW eTool (Desmos). Homework Help ✎

 $y ≤ 4 +\frac { 3 } { 4 }x$$y > −\frac { 1 } { 2 }x + 1$

Graph the lines and test a point.

If the point makes the inequality true, shade the side that the point is on.
If the point makes the inequality false, shade the side opposite the point.

The purple region, which is where the red and blue
regions overlap, is the set of solutions to this
system of inequalities.

Use the eTool below to graph the inequalities.
Click the link at the right for the full eTool version: CCA2 C-40 HW eTool