Question: Let A = {1,2,3,4,} and R = { ( x ,y ) E A x A : x + 1 = y}.
(i) Represent R in numerical form as a set of ordered pairs.
(ii) Show that R is not an equivalence relation of
(iii) Determine the transitive closure of R
My question is, what do I do with R, the x+1 confuses me. I know if r was = {1, 2, 3, 4, 5} The ordered pairs would be {(1, 1), (1, 2), (1,3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 4), (4, 5)}
Am I right?

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Oh I think I get it. So would it be R= {(1,2), (2,3), (3, 4), (4, 5)} ?

Perfect!! :D. You deserve a medal!!

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