Set 1: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. This models mixture problems (e.g., interest rates, concentrations). 1. Distribute: $0.1x + 10 - 0.05 x \geq 15$ 2. Combine: $0.05x + 10 \geq 15$ 3. Subtract 10: $0.05x \geq 5$ 4. Divide by 0.05: $x \geq 100$ Strategic Tip: $5\div 0.05 = 500 \div 5 = 100$. Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it might result from dividing 5 by 0.1. Choice D is incorrect because it combines wrong value and wrong direction.