We are given the system of inequalities:
0.5x + y ≥ 3
1.5x + y ≤ -1
We are also given a coordinate system with two lines plotted.
We are asked which region is the solution to the system of inequalities.
First, we solve the inequalities
0.5x + y ≥ 3
y ≥ -0.5 x + 3
1.5x + -0.5 x + 3 ≤ -1
x ≤ -4
y ≥ -0.5 (-4) + 3
y ≥ 5
The region is Region A
