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

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}