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Q. Let $ A\{1,2,3,4,5\}. $ Find the domain in the relation from $A$ to $A$ by $ R=\{(x,y):y=2x-1\}. $

J & K CETJ & K CET 2014Relations and Functions

Solution:

Given, $ A=\{1,2,3,4,5,\} $
$ R:A\to A $ and $ R=\{(x,y):y=2x-1\} $
$ \therefore $ $ R=\{1,1),\,(2,3),\,(3.5)\} $
Hence, domain of $ R=\{1,2,3\} $