Set 11: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Decimals follow the same rules as whole numbers. 1. Subtract 0.9 x: $1.5x - 0.9 x + 2.4 \leq 6$, giving $0.6x + 2.4 \leq 6$ 2. Subtract 2.4: $0.6x \leq 3.6$ 3. Divide by 0.6: $x \leq 6$ Strategic Tip: Alternatively, multiply everything by 10 to eliminate decimals: $15x + 24 \leq 9 x + 60$. Choice B is incorrect because it reverses the direction without cause. Choice C is incorrect because it might come from dividing 2.4 by 0.6 without subtracting first. Choice D is incorrect because it combines wrong value and wrong direction.