Find the solution set for the inequality. -|x| 3 B) {x|-3

Question

Find the solution set for the inequality. -|x| > 3 B) {x|-3 < x < 3} C) {x|x < -3 or x > 3} D) {x|x > 3 and x < -3}

Quizplus · Accepted Answer

The absolute value of x is greater than 3, which means x is either less than -3 or greater than 3. This is represented by the solution set {x|x < -3 or x > 3}. The inequality |x| > 3 means that x is either greater than 3 OR less than -3 (because the absolute value of any number is always non-negative). This can be written as: {x|x < -3 or x > 3}. Therefore, option C is the correct solution set. Option B is incorrect because it only includes values between -3 and 3, while option D is incorrect because it is impossible for a number to be both greater than 3 and less than -3. Option A is not a valid answer as it appears to be some technical glitch.

Find the Solution Set for the Inequality