Kenneth Rosen Edition 6th Exercise 7.5 Question 35 (Page No. 508)

Question

What is the congruence class $[n_5]$ (that is, the equivalence class of n with respect to congruence modulo 5) when n is 6

I think it would be like $[6]_{5} \equiv[1]_5$ which is set of all numbers which leave a remainder of 1 when divided by 5.

but in rosen answer is given in format $\{i\, \equiv 6mod5\}$

So is my answer same as given in text?

Comments

the way you have written congruence class $[1]_6$ ia also correct and the way answer is given that is also fine because   [6]s = { i Ii= 6 (mod 5)} = { ... , -9, -4, 1, 6, 11, ... }.

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its more like catching your left ear by ur right hand