Question:
Let $A=\{1,2,3,4,6\}$. Let $R$ be the relation on $A$ defined by
$\{(a, b): a, b \in A, b$ is exactly divisible by $a\}$.
(i) Write R in roster form
(ii) Find the domain of R
(iii) Find the range of R.
Solution:
$\mathrm{A}=\{1,2,3,4,6\}, \mathrm{R}=\{(a, b): a, b \in \mathrm{A}, b$ is exactly divisible by $a\}$
(i) $R=\{(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)\}$
(ii) Domain of $R=\{1,2,3,4,6\}$
(iii) Range of $R=\{1,2,3,4,6\}$
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