Choice A is the correct answer. The interval $-2 < x < 2$ represents values between -2 and 2.

1. This corresponds to $|x| < 2$.
2. Squaring both sides gives $x^2 < 4$.

Choice B is incorrect because solution is outside interval ($x>2$ or $x<-2$). Choice C is incorrect because boundary is $\sqrt{2}$. Choice D is incorrect because solution is all reals.