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Q. Which of the following shaded regions represents the solution set of in equation $ |x-y|\ge 1 $

J & K CETJ & K CET 2013Linear Inequalities

Solution:

Given in equation is
$ |x-y|\,\,\,\,\ge 1 $
$ \Rightarrow $ $ 1\le (x-y) $ or $ (x-y)\le -1 $
$ \Rightarrow $ $ x-y\ge 1 $ or $ x-y\ge 1 $
which is the required solution graph.

Solution Image