let R be the equivalence relation in the set A= {0,1,2,3,4,5}given by R={(a,b) : 2 divides (a-b)}.write equivalence class {0}.

Hi Nirmitasha,
Please find below the solution to the asked query:

A=0,1,2,3,4,5R=a,b:2 divides a-ba-b is a multiple of 2.To find equivalence class 0, put b=0a-0 is a multiple of 2.a is a multiple of 2.Multiples of 2 in given set A are 0,2 and 4.Hence  equivalence class 0=0,2,4

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