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. $