Question

Let A = {1, 2, 3, 4, 5, 6} and R = { (a,b ): a divides b }. (i) Write R in the roster form. (ii) Find domain and range of R.

Answer 1

Set : set is a collection of well defined object or data

There are two method to represent any set

# roaster form or tabular form

# set builder form

Given ,

• A = {1, 2, 3, 4, 5, 6}
• R = { (a,b ): a divides b and a , b € A}

Thus , the relation R is roaster form will be

R = {(1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,2) , (3,3) , (4,4) , (5,5) , (6,6) , (2,4) , (2,6) , (3,6)}

Clearly ,

The domain of R : { 1 , 2 , 3 , 4 , 5 , 6 }

The range of R : { 1 , 2 , 3 , 4 , 5 , 6 }