Let 𝑅 be a relation in the set of integers ℤ defined by 𝑥𝑅𝑦 if 𝑥−𝑦 is divisible by 5 for all 𝑥,𝑦∈ℤ.
Prove that 𝑅 is an equivalence relation.
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.