SATHEE: Equations-And-Inequalities Question 55

Equations-And-Inequalities Question 55

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] $

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Equations-And-Inequalities Question 55

Question: The set of real value of x satisfying $ | |x-1|-1 |\le 1 $ is

Options:

Answer:

Solution:

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