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Let A={1,2,3,4,6}.Let R be the relation ...

Let `A={1,2,3,4,6}`.Let R be the relation on
A defined by `R={(a,b):a,b in A, b` is
exactly divisible by a}
Find the domain of R.

Text Solution

Verified by Experts

i) `A={1,2,3,4,6,} A={1,2,3,4,6}`
`A xx A={(1,1),(1,2) . .(1,6),(2,1) . .(2,6),(3,1) . !(3,6),(4,1), . .(4,6),(6,1) .(6,6)}`
`R={(1,1),(1,2),(1,3),(1,4),(1,6),(2 , 2),(2,4),(4,4),(2,6),(3,3),(3,6),(6,6)}`
ii) Domain `={1,2,3,4,6}`
iii) Range `={1,2,3,4,6}`
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