Question

Let $A=\{1,2,3,5\}$ and $B=\{4,6,9\}$ and a relation $R$ from $A$ to $B$ is defined by $R=\{(x, y)$ : the difference between $x$ and $y$ is odd; $x \in A$ and $y \in B\}$. Then Roster form of $R$ is ...K.... Here, $K$ refers to

• A. $\{(1,4),(1,6),(1,9)\}$
• B. $\{(1,4),(1,6),(2,9),(3,4),(3,6),(5,9)\}$
• C. $\{(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)\}$
• D. None of the above

Answer 1

Answer: (C)

Difference between $x$ and $y$ is odd, if one of them is odd.
$\therefore$ In Roster form $R=\{(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)\}$