Set 8: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Decimals in inequalities work the same as whole numbers. 1. Subtract 0.3 x: $0.5x - 0.3 x - 1.2 \leq 0.3 x - 0.3 x + 0.8$, giving $0.2x - 1.2 \leq 0.8$ 2. Add 1.2: $0.2x \leq 2.0$ 3. Divide by 0.2: $x \leq 10$ Strategic Tip: You can multiply all terms by 10 to eliminate decimals: $5x - 12 \leq 3 x + 8$, then solve normally. Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it might come from dividing 0.8 by 0.2 without adding 1.2 first. Choice D is incorrect because it combines wrong value with wrong direction.