Which point is not in the solution region of x ≥ 0, y ≥ 0, x + y ≤ 3?

Correct answer: (2, 2)

The governing concept is the intersection of solution sets of simultaneous linear inequalities. A point is in the feasible region only if it satisfies every condition: both coordinates must be non-negative and their sum must not exceed 3. Point A, (0,0), satisfies x ≥ 0, y ≥ 0, and 0 + 0 = 0 ≤ 3. Point B, (1,1), also satisfies the coordinate conditions and has sum 2 ≤ 3. Point C, (2,2), has non-negative coordinates, but its sum is 2 + 2 = 4, which is greater than 3; it violates the third inequality. Point D, (3,0), has sum 3 and is allowed because the boundary is included by ≤. Therefore option C is outside the region.