Which region represents the solution to the given system of inequalities? {-0.5x+y>_3
{1.5x+y=-1

Region A represents the solution of the given system of inequalities

(Correcting the second equation which becomes 1.5x+y ≤ -1)

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)

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