Set 15: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Work with decimals or multiply to clear them. 1. Distribute: $0.4x + 4 < 0.2 x + 6$ 2. Subtract 0.2 x: $0.2x + 4 < 6$ 3. Subtract 4: $0.2x < 2$ 4. Divide by 0.2: $x < 10$ Strategic Tip: $0.4\times 10 = 4$. Check your decimal multiplication. Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it might result from dividing 4 by 0.2 incorrectly. Choice D is incorrect because it combines wrong value and wrong direction.