Equations And Inequalities Question 27
Question: The set of real value of x satisfying $ | |x-1|-1 |\le 1 $ is
Options:
A) $ [-1,3] $
B) $ [0,2] $
C) $ [-1,1] $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] $ | | x-1 |-1 |\le 1\Rightarrow -1\le | x-1 |-1\le 1 $
$ \Rightarrow 0\le | x-1 |\le 2\Rightarrow -2\le x-1\le 2 $
$ \Rightarrow -1\le x\le 3\Rightarrow x\in [-1,3] $
BETA
