A = { 7,8,9 } and R = { (7,7),(7,8),(8,9) } Add minimu number of elements to the relation R so that 1. aRa ,for all a belongs to A. 2. aRb and bRc => aRc

Asked by Veneet Suri | 5th May, 2013, 10:37: PM

Expert Answer:

Add (8, 8), (9, 9) to the relation R to make it reflexive.

Thus, for R = {(7,7), (7,8), (8,9), (8,8), (9,9)} we have aRa for all a belongs to A.

Add (7, 9) to the relation R to make it transitive.

Thus, for R = {(7,7), (7,8), (8,9), (7,9)} we have aRb and bRc => aRc for all a,b,c belonging to A.

Answered by  | 7th May, 2013, 11:05: AM

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