Question

Let N be the set of natural number and R be the relation on NXN defined by (a, b) R(c,d) if ad=bc for all a, b, c, d belongs to N. Show that R is an equivalence relation

Answer 1

Answer:

Let N denote the set of all natural numbers and R be the relation on N x N defined by (a, b) R (c, d )

⇔ a d (b + c) = b c (a + d)

Check whether the relation R defined in the set

{1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive.

Answer 2

Answer:

N be the set of natural number and R be the relation on NXN defined by (a, b) R(c,d) if ad=bc for all a, b, c, d belongs to N. Show that R is an equivalence relation