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NCERT XI Mathematics Chapter 2 : Relations and Functions - Miscellaneous Example
Example 19 Let R be a relation from Q to Q defined by R = {(a, b): a, b ∈ Q and a - b ∈ Z}. Show that
(i) (a, a) ∈ R for all a ∈ Q
(ii) (a, b) ∈ R implies that (b, a) ∈ R
(iii) (a, b) ∈ R and (b, c) ∈ R implies that (a, c) ∈ R
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