Choice A is the correct answer. Analyze the properties of absolute value.

1. Property: $|2x| \geq 0$ for all real $x$.
2. Comparison: Is a non-negative number always greater than -5? Yes.
3. Conclusion: True for all real numbers.

?�� Strategic Tip: If $|A| > \text{negative}$, the answer is always All Real Numbers.

Choice B is incorrect because it is always true. Choice C is incorrect because it implies a restriction. Choice D is incorrect because it implies a restriction.