If the relation R be defined on the set A = 1,2,3,4,5 by R = (a,b): | a 2 - b 2 | < 8 . Then, R is given by

Given, A = 1,2,3,4,5 , R = (a,b): | a 2 - b 2 | < 8 R = (1,1),(1,2),(2,1),(2,2),(2,3),(3,2),(3,3),(4,3),(3,4),(4,4),(5,5)

Relations and Functions — Class 12 Maths Solution

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Question

If the relation $R$ be defined on the
set $A = \{ 1,2,3,4,5\}$ by $R = \left\{ {(a,b):\left| {{a^2} - {b^2}} \right| < 8} \right\}.$ Then, $R$ is given by

Step-by-step Solution

Given, $A = \{ 1,2,3,4,5\} ,$

$R = \left\{ {(a,b):\left| {{a^2} - {b^2}} \right| < 8} \right\}$

$R = \{ (1,1),(1,2),(2,1),(2,2),(2,3),(3,2),(3,3),(4,3),(3,4),(4,4),(5,5)\}$

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