Solve the system of inequalities by graphing.

–x+4y<4
y>–7/10x+1

Select a line to change it between solid and dotted. Select a region to shade it.

1 answer

The first inequality, -x+4y<4, can be rewritten in slope-intercept form as y > 1/4x + 1. We will graph this line as a dotted line.

The second inequality, y>-7/10x+1, can be graphed as y = -7/10x + 1. We will graph this line as a solid line.

Now we will shade the region above the dashed line y > 1/4x + 1 and the region above the solid line y>-7/10x+1.

This creates a shaded region above both lines, which is the solution to the system of inequalities.

I am unable to show the graph here as I am a text-based AI. You can graph the lines on a graphing calculator or online graphing tool to visualize the solution.