3

Set 15: Quadratic Equations

Explanation

Answer: A

Which quadratic inequality has no solution?

A.

x2<1x^2 < -1

✓ Correct
B.

x2>1x^2 > -1

C.

x20x^2 \geq 0

D.

x21<0x^2 - 1 < 0

Detailed Explanation

Choice A is correct. Choice A is the correct answer. x2x^2 is always non-negative. It is impossible for it to be less than -1. Choice B is incorrect because solution is all reals. Choice C is incorrect because solution is all reals. Choice D is incorrect because solution is 1<x<1-1 < x < 1.

Key Steps:

The correct answer is x2<1x^2 < -1

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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