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

Answer

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

Explanation

Given, the relation R defined on the set `A={1,2,3,4,5}` by

`R={(a, b):|a^{2}-b^{2}| lt 16}`.

now for `(1,1),|a^{2}-b^{2}|=0`

`(1,2),|a^{2}-b^{2}|=3`


`(1,3),|a^{2}-b^{2}|=8`

`(1,4),|a^{2}-b^{2}|=15`

`(2,1),|a^{2}-b^{2}|=3`

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