Question

If r =(a,a3) : a is prime number less than 5} be a relation. find the range of r

Answer 1

$r = (a \: {a}^{3} )$
a is prime number less then 5.
r = {(2,8),(3,27)}
so domain of relation is {2,3}
range is {8,27}

Answer 2

Given:

r = (a,  ${a}^{3}$)

Where 'a' is a prime number less than 5

To find, the range of r = ?

Solution:

The prime number less than 5 are:

2 and 3

r = (a,  ${a}^{3}$)

Put r = 2, we get

r = (2,  ${2}^{3}$)  = (2, 8)

Put r = 3, we get

r = (3,  ${3}^{3}$)  = (3, 27)

∴ r = {(2, 8), (3, 27)}

The domain of relation is {2, 3}  and

The range is {8,27}.