Where the above graph is given, it's system of linear inequalities are:
y > 1/2 x -1; and y ≤ - 1/2 x -3 (Option 1 and 3)
The system of inequalities represents shaded regions on a coordinate plane. For the first inequality, y > 1/2 x -1, the shaded region is above the line, indicating all points where y is greater than 1/2 times x minus 1.
For the second inequality, y ≤ - 1/2 x -3, the shaded region is below the line, representing all points where y is less than or equal to negative1/2 times x minus 3.
The solution is the overlapping area of both shaded regions.