The relation R is defined on R^2 by (x1, y1) ∼ (x2, y2) if and only if x1 − x2 ∈ Z,for (x1, y1) and (x2, y2) in R^2 a) Prove that R is an equivalence relation. Be sure to use the correct format, including labelling b) ] Find the equivalence class [(2, 3)] and sketch it in the x-y plane.

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A: 11) if Γ ={[0,1n) | n∈N}  then ∩Γ=[0,1)         Γ= {[0,1), [0,1/2), [0,1/3), [0,1/4), [0,1/5),…

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