Set 14: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. This inequality requires distribution on both sides before isolating the variable. 1. Distribute: $4x - 12 < 2 x + 10$ 2. Subtract 2 x: $4x - 2 x - 12 < 10$, giving $2x - 12 < 10$ 3. Add 12: $2x < 22$ 4. Divide by 2: $x < 11$ Strategic Tip: Distribute carefully to remove parentheses first. Then, move all variable terms to one side and constants to the other. Choice B is incorrect because it reverses the inequality direction without justification. Choice C is incorrect because it might result from adding 12 and 10 incorrectly or dividing prematurely. Choice D is incorrect because it combines wrong value and wrong direction.