Set 4: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Finding equivalent forms helps verify solutions. 1. Subtract 4 x: $2x - 4 x - 3 > 4 x - 4 x + 5$, giving $-2 x - 3 > 5$ 2. Add 3: $-2 x > 8$ 3. Continue to solve: Divide by -2: $x < -4$ Strategic Tip: Equivalent inequalities have the same solution set but may look different in form. Choice B is incorrect because it has the opposite direction for $-2 x$. Choice C is incorrect because it has the wrong sign on the coefficient (should be $-2 x$, not $2x$). Choice D is incorrect because while this represents the final solution when fully solved, it's not equivalent to the intermediate form requested, and the direction should be $<$, not $>$.