Final answer:
To find the overall solution set of the given system of inequalities, graph the lines represented by the inequalities and shade the region between them.
Step-by-step explanation:
The given system of inequalities is:
y <= 6x + 3
y > 10x + 5
To find the overall solution set, we need to determine the region of the coordinate plane where both inequalities are satisfied simultaneously. This can be done by graphing the two lines represented by the inequalities and shading the appropriate region.
First, let's graph the line y = 6x + 3. We can plot some points for different values of x, connect them, and draw a line passing through them. Similarly, we can graph the line y = 10x + 5.
Next, let's determine the shaded region. Since the inequality y <= 6x + 3 represents the area below the line y = 6x + 3, and the inequality y > 10x + 5 represents the area above the line y = 10x + 5, the shaded region would be the region between the two lines.
This shaded region represents the overall solution set for the given system of inequalities.