Question

Define a relation R on the set N of natural numbers by R = {(x,y) ; y = x + 5, x, is a
natural number less than 4 ; x,y ∈N} depict this relationship using roster form write
down the domain and the range

Answer 1

6,7,8

Step-by-step explanation:

Given definition of R is 

R={(x,y):y=x+5,x is a natural number less than 4,x,y∈N}

The natural numbers less than 4 are 1,2 and 3

∴R={(1,6),(2,7),(3,8)}

The domain of R is the set of all first elements of the ordered pairs in the relation

∴ Domain of R={1,2,3}

The range of R is the set of all second elements of the ordered pairs in the relation

∴ Range of R={6,7,8}