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  4. The relation R defined on the set A=[1,2,3,4,5] by R=[(x, y):|x2-y2|< 16] is given by,

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Q. The relation $R$ defined on the set $A=[1,2,3,4,5]$ by $R=\left[(x, y):\left|x^{2}-y^{2}\right|< 16\right]$ is given by,

Relations and Functions

Solution:

Here, $R=\left\{(x, y):\left|x^{2}-y^{2}\right|<16\right\}$ and $A=\{1,2,3,4,5\}$
$\therefore R=[(1,2),(1,3),(1,4) ;(2,1),(2,2),(2,3),(2,4) ;(3,1),$
$(3,2)(3,3),(3,4) ;(4,1),(4,2),(4,3) ;(4,4),(4,5) ;(5,4),(5,5)]$