Set 12: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Variables on both sides need to be collected on one side first. 1. Subtract 2 x: $4x - 2 x + 7 > 2 x - 2 x - 9$, giving $2x + 7 > -9$ 2. Subtract 7: $2x > -16$ 3. Divide by 2: $x > -8$ Strategic Tip: Move variable terms to one side and constants to the other, then solve as usual. Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it might come from incorrectly combining 7 and -9 before proper solving. Choice D is incorrect because it combines both wrong value and wrong direction.