9
algebra

Which inequality represents the region outside the circle of radius 3 centered at the origin? (Note: This is a non-linear preview)

A

x2+y2>9x^2 + y^2 > 9

B

x2+y2<9x^2 + y^2 < 9

C

x2+y29x^2 + y^2 \geq 9

D

x+y>3x + y > 3

Correct Answer: A

Choice A is the correct answer. Distance from origin >3> 3.

  1. Distance Formula: x2+y2>3\sqrt{x^2 + y^2} > 3
  2. Square both sides: x2+y2>9x^2 + y^2 > 9

?�� Strategic Tip:<< is inside, >> is outside.

Choice B is incorrect because it represents the inside. Choice C is incorrect because it includes the boundary (not strictly outside). Choice D is incorrect because it represents a half-plane, not a circle.