Linear Programming Question 97

Question: If $ | x-2 |\le 1 $ , then

Options:

A) $ x\in [ 1,3 ] $

B) $ x\in (1,3) $

C) $ x\in [ -1,3 ) $

D) $ x\in (-1,3) $

Show Answer

Answer:

Correct Answer: A

Solution:

$ | x-2 |\le 1 $

$ \Rightarrow -1\le x-2\le 1 $

$ \Rightarrow 1\le x\le 3 $

$ \Rightarrow x\in [1,3] $