Set 11: Linear Inequalities

Choice A is correct. Choice A is the correct answer. This real-world constraint problem models resource allocation with inequalities. 1. Total usage: $8.5+ d$ must not exceed 15 GB 2. Set up: $8.5+ d \leq 15$ 3. Solve: Subtract 8.5: $d \leq 15 - 8.5$ 4. Calculate: $d \leq 6.5$ GB Strategic Tip: Maximum capacity problems use $\leq$ to ensure totals don't exceed limits. Choice B is incorrect because $\geq 6.5$ would mean using at least 6.5 GB more, which could exceed the 15 GB limit. Choice C is incorrect because it adds 8.5 and 15 instead of subtracting, misunderstanding the constraint. Choice D is incorrect because while structurally close, using $\geq$ reverses the constraint logic.