Let $A = {1, 2, 3, 4, 5}$ and $B = {1, 4, 5}$ . Let $R$ be a relation 'is less than' from $A$ to $B$ . Find the domain, co domain and range of $R$ .

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Solution

$A = {1, 2, 3, 4, 5} B = {1, 4, 5}$
$R \to A$ is less than $B$
Domain is ${1, 2, 3, 4}$
Co-domain is ${1, 4, 5}$
range is ${4, 5}$

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