Let $A = \{1, 2, 3, 4, 5, 6\}$. Define a relation $R$ from $A$ to $A$ by $R = \{(x, y) : y = x + 1\}$. Write down the domain,codomain,and range of $R$.

(N/A) The relation $R$ is given by $R = \{(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)\}$.
The domain is the set of all first elements of the ordered pairs in $R$,which is $\{1, 2, 3, 4, 5\}$.
The range is the set of all second elements of the ordered pairs in $R$,which is $\{2, 3, 4, 5, 6\}$.
The codomain is the set $A$ itself,which is $\{1, 2, 3, 4, 5, 6\}$.