Answer:
Region A represents the solution of the given system of inequalities
(Correcting the second equation which becomes 1.5x+y ≤ -1)
Step-by-step explanation:
We have to solve a system of inequalities by using graph only.
The first equation given to us is:
-0.5x+y ≥ 3
This equation forms a straight line going upwards from left to right which intersects x-axis at -6
The region bound by this equation is shown in pink in the attachment
The second equation given to us is:
1.5x+y ≤ -1
This equation give a straight line going downwards from left to right intersecting x=axis near -1
The region bound by this is shown in blue in the attachment.
The solution of the equations is given by the region which is overlapping, that is A (purple region in the attachment)