The image contains a set of graphs displaying linear inequalities. The two inequalities provided are:1. \(3x + y > -1\)2. \(x + 2y \leq 8\)Each graph has a grid with an x-axis and a y-axis, with different shading to represent the solution regions of the inequalities.**Graph Descriptions:**1. **Top-Left Graph:** - The graph shows a solid line, indicating the boundary for one of the inequalities. - The shaded region is below the line, which represents the solution set.2. **Bottom-Left Graph:** - The graph displays a dashed line. - The shading is to the right side of the line.3. **Top-Right Graph:** - This graph illustrates a solid line. - The shaded region is above and to the left of the line.4. **Bottom-Right Graph:** - Shows both a solid and a dashed line intersecting. - The shaded area is below both lines, indicating an overlap of solution sets. The task likely involves identifying which graph correctly represents the solution set for both inequalities combined.

Equation of first line is 3x+y=-1 For x=0, y=-1 and for y=0, x=-0.33 Equation of second line is x+2y=8 For x=0, y=4 and for y=0, x=8 Plot these point on the graph to obtain the lines. Shade the region above the first line and below the second line to obtain the required region.Following is the required graph Therefore option c is the correct option.