1.

Let A = {1,2,3,4,5} Define on operation v by a vee b =max {a,b} Prepare its compostion table Show that a is closed for the given operation and that the given operation is commutative

Answer»

Solution :We prepare the table as given below

Closure property
since all the entries of the composition table are FORM the given SET so closure property is satisfied
Commutative law
Clearly every ROW coincides with the CORRESPONDING column So commuative law is sastisfied


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