Answer:
Step-by-step explanation:
Symbolically written, we have:
x + y ≤ 2
We can graph this to determine where the solution points lie:
Temporarily write this as x + y = 2. Find the x- and y-intercepts:
Letting x = 0 yields y = 2: (0, 2)
Letting y = 0 yields x = 2: (2, 0)
Plot these two points. Draw a line through them. You'll see that this line has a negative slope: m = -2.
Now determine whether you should shade the area above this line or below it. Arbitrarily choose test point (-3, 1) and substitute -3 for x and 1 for y in x + y ≤ 2: -3 + 1 ≤ 2, or -2 ≤ 2. This is true. This test point is BELOW the line, so it's on the "right" side of the line; thus you should shade the graph below this line.
