Question

Graph the system of inequalities

x (lesser or equal to sign)2
y (greater or equal to sign)-2x+4

I am having trouble understanding what points to plot on the graph and also how the graph should be shaded (if at all).

Answer 1

They are not points.

for x<=2, make a vertical line at x=2
for y>= 2x+4, plot the line y=2x+4. Graph a few points, then connect them in a line.

Now the solution area will be when y is above the slanted line and x is to the right of the vertical line.