Set 16: Quadratic Equations

Explanation

Answer: A

Which inequality has the solution $-2 < x < 2$ ?

$x^2 < 4$

✓ Correct

$x^2 > 4$

$x^2 < 2$

$x^2 > -4$

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is $x^2 < 4$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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