7

Set 15: Quadratic Equations (Intermediate)

Explanation

Answer: A

Solve: x2+1>0x^2 + 1 > 0

A.

All real numbers

✓ Correct
B.

No solution

C.

x>1x > -1

D.

x>1x > 1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. x2x^2 is always 0\geq 0 for any real number. 2. Adding 1 means x2+11x^2 + 1 \geq 1. 3. Since 1>01> 0, the expression is always positive. 4. Therefore, the solution is all real numbers. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is All real numbers

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.

🎯 Keep Practicing!

Master all sections for your best SAT score