The inequalities shall be solved by a graphical method.
The graphs of both inequalities are shown below;
Please observe that in the graph above, the red region with the broken lines represents y < (1/2)x + 4
The blue region with the thick line represents y >= -x+1
The solution to this inequality lies in the region thats shaded by both lines.
Observe that the shaded regions meet at the coordinates which includes 4 and 0
Note that this region has a number of coordinates which include (4, 0)
That is the only correct option among the ones provided
(-2, 3) can only be a correct answer if the question gave equations. But what we have here are INEQUALITIES and not EQUATIONS