6
algebra

Which inequality represents the set of all points more than 3 units away from the y-axis?

A

x>3|x| > 3

B

y>3|y| > 3

C

x<3|x| < 3

D

x>3x > 3

Correct Answer: A

Choice A is the correct answer. Distance from y-axis is given by x|x|.

  1. Distance from y-axis: The absolute value of the x-coordinate, x|x|.
  2. More than 3: >3> 3
  3. Inequality: x>3|x| > 3

?�� Strategic Tip: Distance from x-axis is y|y|. Distance from y-axis is x|x|.

Choice B is incorrect because it represents distance from the x-axis. Choice C is incorrect because it represents points within 3 units. Choice D is incorrect because it only includes the right side, missing the left side (x<3x < -3).