Solve the system of inequalities by graphing.

y≤ –1
x≥1
Select a line to change it between solid and dotted. Select a region to shade it

I'm sorry, but as a text-based AI, I am unable to create visuals such as graphs. However, I can explain how you can graph the system of inequalities.

To graph the inequalities y ≤ -1 and x ≥ 1, you would first draw a horizontal line at y = -1. This line would be solid because y is less than or equal to -1. Next, draw a vertical line at x = 1. This line would also be solid because x is greater than or equal to 1.

After graphing these two lines, you would shade the region below the horizontal line y = -1 (including the line itself) and to the right of the vertical line x = 1 (including the line itself). This shaded region represents the solution to the system of inequalities y ≤ -1 and x ≥ 1.

I hope this explanation helps! Let me know if you have any other questions.