Which of the following are solutions to the system of inequalities  y<−x+5𝑦<−𝑥+5 and  y≥3x+1?𝑦≥3𝑥+1?  Select all that apply.

The question seems to be incomplete as there are no options provided to select from. However, I can guide you on how to find the solution to the system of inequalities.

Step 1: Graph the inequalities on the same set of axes.

The first inequality is y < -x + 5. This is a straight line with a slope of -1 and y-intercept of 5. Since the inequality is 'less than', we will shade the area below the line.

The second inequality is y ≥ 3x + 1. This is a straight line with a slope of 3 and y-intercept of 1. Since the inequality is 'greater than or equal to', we will shade the area above the line.

Step 2: Identify the region where the shaded areas overlap.

The overlapping region represents the solution to the system of inequalities. Any point in this region is a solution to both inequalities.

Without a graph or specific options to choose from, I can't provide a more specific answer. But I hope this helps you understand how to solve such problems!