Choice A is the correct answer. Solve the compound inequality by performing operations on all three parts simultaneously.

1. Subtract 1: $-3 - 1 < 2x + 1 - 1 \leq 7 - 1$, giving $-4 < 2x \leq 6$
2. Divide by 2: $\frac{-4}{2} < \frac{2x}{2} \leq \frac{6}{2}$
3. Simplify: $-2 < x \leq 3$

?�� Strategic Tip: Whatever you do to the middle, you must do to the left and right sides.

Choice B is incorrect because it swaps the strict ($<$) and inclusive ($\leq$) inequalities. Choice C is incorrect because it might result from adding 1 instead of subtracting. Choice D is incorrect because it combines wrong values and wrong signs.