Set 15: Quadratic Equations (Advanced)

Explanation

Answer: A

What is the solution set for $x^2 < -4$ ?

Empty set (No solution)

✓ Correct

All real numbers

$x < -2$

$-2 < x < 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. $x^2$ must be non-negative ( $x^2 \geq 0$ ). 2. It is impossible for a non-negative number to be less than a negative number (-4). 3. Therefore, there is no solution. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is Empty set (No solution)

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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