7
algebra

Solve: x2<9x^2 < 9 (Non-linear preview)

A

3<x<3-3 < x < 3

B

x<3x < 3

C

x<3x < -3 or x>3x > 3

D

x>3x > 3

Correct Answer: A

Choice A is the correct answer. Square root property.

  1. Logic: Numbers whose square is less than 9 are between -3 and 3 (e.g., 0, 2, -2).
  2. Algebra: x<33<x<3|x| < 3 \rightarrow -3 < x < 3

?�� Strategic Tip:x2<a2x^2 < a^2 is equivalent to a<x<a-a < x < a.

Choice B is incorrect because it includes large negative numbers (e.g., -10) whose square is >9>9. Choice C is incorrect because it describes x2>9x^2 > 9. Choice D is incorrect because it misses negative solutions.