Question

if A={2,3,8},B={3,4,6} and relation R={(x,y)|x<y}.find R​

Answer 1

Answer:

R={(2,3),(3,4)}

here {(8,6)} is not possible because

X must be less than Y

Answer 2

Step-by-step explanation:

Given:-

A={2,3,8},B={3,4,6}

To find:-

If A={2,3,8},B={3,4,6} and relation R={(x,y)|x<y} then find R?

Solution:-

Given sets are :-

A={2,3,8},

Number of elements in the set A = 3

n(A) = 3

B={3,4,6}

Number of elements in the set B = 3

n(B) = 3

Number of relations from A to B = 2^[n(A)×n(B)]

=>2^(3×3)

=>2^9

=>512

But given that

The relation R = {(x,y)|x<y}

R= {(2,3),(2,4),(2,6),(3,4),(3,6)}

Where x € A and y €B

Answer:-

R = {(2,3),(2,4),(2,6),(3,4),(3,6)}