Question:
$A=\{1,2,3,5\}$ and $B=\{4,6,9\}$. Define a relation $R$ from $A$ to $B$ by $R=\{(x, y)$ : the difference between $x$ and $y$ is odd; $x \in A, y \in B\}$. Write $R$ in roster form.
Solution:
$A=\{1,2,3,5\}$ and $B=\{4,6,9\}$
$\mathrm{R}=\{(x, y):$ the difference between $x$ and $y$ is odd; $x \in \mathrm{A}, y \in \mathrm{B}\}$
$\therefore R=\{(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)\}$
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