4x + 5y < -5
5y < -4x - 5
y < (-4/5)x - 1
Hopefully you know how to graph that line, but you'll use a dotted line since the line itself is not included. Shade below the dotted line. I like to use a vertical pattern.
3x - 4y ≤ -12
-4y ≤ -3x -12
y ≥ (3/4)x + 3
This time you'll use a solid line since the line itself is included. Shade above your line. I like to use a horizontal pattern.
Where you have overlap is your solution, to include your 2nd line. Want to make sure you did it right? Pick a point both inside and outside of your common shaded area and plug them in.
