Define a relation R on ℤ as (a, b) ∈ R if and only if a and b, when written out, have the same number of 5s. For example, (1752, 95) ∈ R since they both have one 5 but (1752, 505) ∉ R since 1752 has one 5 but 505 has two 5s. Is R an equivalence relation? Prove that R is an equivalence relation. This problem is similar to examples and exercises in Section 4.5 of your SNHU MAT299 textbook.

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