Choice A is the correct answer. Isolate and solve.

1. Subtract 3: $2|x - 1| \leq 6$
2. Divide by 2: $|x - 1| \leq 3$
3. Compound: $-3 \leq x - 1 \leq 3$
4. Add 1: $-2 \leq x \leq 4$

?�� Strategic Tip: Treat $|...|$ as a variable until it is isolated.

Choice B is incorrect because it solves incorrectly. Choice C is incorrect because it misses the lower bound. Choice D is incorrect because it treats it as an "or" inequality.