Equations And Inequalities Question 9

Question: Solution of $ | x-1 |\ge | x-3 | $ is

Options:

A) $ x\le 2 $

B) $ x\ge 2 $

C) $ [1,3] $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] $ | x-1 | $ is the distance of x from 1. $ | x-3 | $ is the distance of x from 3. The point $ x=2 $ is equidistant from 1 and 3. Hence, the solution consists of all $ x\ge 2. $