Show that the relation `R` on the set `A={x in Z :0lt=xlt=12}` , given by `R={(a ,\ b):|a-b|` is a multiple of 4} is an equivalence relation. Find the set of all elements related to 1 i.e. equivalence class [1].

Explanation

$$ \mathrm{A}=\{\mathrm{x} \in Z: 0 \leq \mathrm{x} \leq 12\}=\{0,1,2,3,4,5,6,7,8,9,10,11,12\} $$


`R=\{(a, b):|a-b|` is a multiple of 4`\}`




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