On the set of natural numbers let R be the relation defined by aRb if 2a+3b = 30 . Check whether it is
(i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

On the set of natural number let R be the relation defined by aRb if a+b lt=6 . Write down the relation by listing all the pairs. Check whether it is (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence.

On the set of natural number let R be the relation defined by aRb if 2a +3b=30. Write down the relation by listing all the pair . check whether it is (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

On a set of natural numbers let R be the relation defined by aRb if a + 2b = 15. Write down the relation by listing all the pairs. Check whether it is reflexive, symmetric, transitive, equivalence.

Let A={a,b,c} and R={(a,a), (b,b),(a,c)}. Write down the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

Let A = { a,b,c }, and R = {(a,a) (b,b) (a,c) }. Write down the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence.