Fill in the blanks in each of the Let the relation R be defined in N by aRb if 2a + 3b = 30. Then R = ______.

Question

Philoid · Accepted Answer

Given that, 2a + 3b = 30

⇒ 3b = 30 - 2a

⇒

Since a,b ∈ N, ‘a’ must be a multiple of 3.

Substituting a = 3 in above equation we get,

⇒

∴ for a = 3, b = 8

Similarly,

For a = 6, b = 6

For a = 9, b = 4

For a = 12,b = 2

Thus, R = {(3,8),(6,6),(9,4),(12,2)}