Consider the equation 2x + y = 6 The line passes through (0, 6), (3, 0). The line 2x + y = 6 is represented by AB. Now, consider 2x + y ≥ 6 Put x = 0, y = 0 0 + 0 ≥ 6, which does not satisfy this inequality. ∴ Origin does not lie in the region of 2x + y ≥ 6. The shaded region represents the inequality 2x + y ≥ 6