Solve this: Q Prove that relation R on the set N x N defined by a,b R c,d⇌a+d=b+c - Maths - Relations and Functions

Question

Solve this:
Q Prove that relation R on the set N x N defined by a , b
  R   c , d ⇌ a + d = b + c   for   all
  a , b ,   c , d ∈   N   x   N is an
equivalence relation

Rambaboo Khatana · Accepted Answer

Solve this: Q. Prove that relation R on the set N x N defined by a , b R c , d ⇌ a + d = b + c for all a , b , c , d ∈ N x N is an equivalence relation.

Solve this:

Q. Prove that relation R on the set N x N defined by $(a, b) R (c, d) ⇌ a + d = b + c for all (a, b), (c, d) \in N x N$ is an equivalence relation.