Choice A is the correct answer. Isolate $x$.

1. Multiply by 2: $4 < 3 - x \leq 8$
2. Subtract 3: $1 < -x \leq 5$
3. Divide by -1: $-1 > x \geq -5$ (Reverse signs!)
4. Rewrite: $-5 \leq x < -1$

?�� Strategic Tip: When dividing a compound inequality by a negative, the entire order flips.

Choice B is incorrect because it fails to reverse signs. Choice C is incorrect because it swaps the strict/inclusive endpoints. Choice D is incorrect because it solves incorrectly.