Prove that the relation R on the set NxN defined by (a , b)R(c , d) ⇌ a+d=b+c for all (a , b),(c ,

#class12
#relationsandfunctions
#ProvethattherelationRonthesetNNdefinedbyabRcdaplusdisequaltobpluscforallabcdinNNisanequivalencerelation
Prove that the relation R on the set NxN defined by (a , b)R(c , d) ⇌ a+d=b+c for all (a , b),(c , d) in NxN is an equivalence relation.

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