Choice A is the correct answer. Define the rectangular box.

1. Quadrant I: $x \geq 0, y \geq 0$
2. Bounded by $x=4$: $x \leq 4$
3. Bounded by $y=5$: $y \leq 5$
4. Combine: $0 \leq x \leq 4$ and $0 \leq y \leq 5$

?�� Strategic Tip: Bounded regions usually imply "between" inequalities.

Choice B is incorrect because it is unbounded (goes to infinity). Choice C is incorrect because it includes other quadrants. Choice D is incorrect because it excludes the boundaries (strict).