Question

IF R={(X,Y);x+2y=8} is a relation on N,write domain and range of R

Answer 1

Answer:

Explanation:

Given R={(x,y):x+2y=8}

Given that the relation is on N

y=8−x2

When x=1, y = 72 which is not

When x=2,y=3

When x=3,y=72 which is not

When x=4,y=2

When x=5,y=32 which is not

When x=6,y=1

∴(2,3),(4,2),(6,1)

Hence the range is {1,2,3}