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Problem 1.4. For x,y ∈ R def i ne x ∼ y to mean that x − y ∈ Z. 1)Prove that ∼ is an equivalence relation on R. 2)List three real numbers x such that x ∼ √2.


Siddhant Zine 11th Nov, 2020
Answer (1)
priyaankasarkar Student Expert 13th Nov, 2020

If this is regarding Equivalence relations, we would suggest you to check the official page for lectures on Equivalence relations: http://www.cs.fsu.edu/~lacher/courses/MAD3105/lectures/s1_3equivrel.pdf . This is because there are few symbols, that might not be typed accurately here.

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