A={1,2,3,5} and B={4,6,9} . Define a relation R from A to B by R = { (x,y): difference between x and

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2.Relations and Functions

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$A=\{1,2,3,5\}$ 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; ${\rm{; }}x \in A,y \in B\} $ Write $R$ in roster form.

Option A

Option B

Option C

Option D

Solution

$A=\{1,2,3,5\}$ and $B=\{4,6,9\}$

$R = \{ (x,y):$ the difference between $ x $ and $ y $ is odd; ${\rm{; }}x \in A,y \in B\} $

$\therefore R=\{(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)\}$

Standard 11

Mathematics

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