Final answer:
The system of linear inequalities defines horizontal lines at y=8, y=23, y=14, and y=4, with shading on the corresponding sides given by the inequalities. However, there's no common area that satisfies all inequalities, indicating no solution exists.
Step-by-step explanation:
To graph the solution of the given linear inequalities, we need to understand that each inequality defines a region in the coordinate plane. Since we are dealing with just the 'y' variable, the graph will consist of horizontal lines and shading above or below those lines, depending on the inequality.
- For y < 8, we draw a dashed horizontal line at y = 8 and shade the region below this line because y is less than 8.
- For y ≥ 23, we draw a solid horizontal line at y = 23 and shade the region above because y is greater than or equal to 23.
- For y > 14, we draw a dashed horizontal line at y = 14 and shade the region above because y is greater than 14.
- Lastly, for y ≤ 4, we draw a solid horizontal line at y = 4 and shade the region below because y is less than or equal to 4.
Note that in this system of inequalities, there are conflicting regions that do not overlap, meaning that there is no common solution area where all inequalities are satisfied simultaneously. Thus, this system has no solution.