Given inequality is y + 8 ≥ 2x
Let us draw the graph of the line, y + 8 = 2x
The line passes through the points (4, 0), (0, – 8).
This line is represented by AB.
Now, consider the inequality y + 8 ≥ 2x.
Putting x = 0, y = 0
0 + 8 ≥ 0, which is true
∴ Origin lies in the region of y + 8 ≥ 2x
The shaded region represents the inequality y + 8 ≥ 2x.