Graph to solve this problem

Question

Answer 1

Start by graphing the lines associated with each of these inequalities. For 3x-4y≥12, your line will be solid. And for 2x+y<1, your line will be dotted (because there's no line under the <).

Then use (x,y)=(0,0) in each inequality to determine which side of each line to shade.

3(0)-4(0) = 0, and 0<12 (not ≥), so shade the side of the solid line that does not include (0,0).

2(0)+0=0, and 0<1, so shade the side of the dotted line that does include (0,0).

The section of the graph that is double shaded is your solution set. I'm happy to send you a picture of the graph if you message me.

I hope this helps!!