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Show that the relation R in the set A of...

Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y) : x and y have same number of pages} is an equivalence relation.

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Set `A` is the set of all books in the library of a college.
`R = {x, y): x` and `y` have the same number of pages}.
Now, R is reflexive since `(x, x) in R` as `x` and `x` has the same number of pages.
Let `(x, y) in R => x` and `y` have the same number of pages.
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