Answer:
Answer is represented by region A
T
Step-by-step explanation:
Given is a system of inequalities as
-0.5x+y≥3 and
1.5x+y≤-1
The graph of both lines are shown in the picture
Let us see the feasible region for both the lines.
Substitute (0,0) in I line to have
the inequality is not true. Hence the region not containing the origin for the I line
For second line also origin does not satisfy the inequality
Hence for both lines the region not containing the origin hence it is the region A
Thus we get out of four regions A,B, C and D formed by the two lines region A is the solution to the system of ineqalities with corner point as
(-2, 2)