Determine whether the following relation is transitive
Q) Determine whether the following relation is transitive Relation R in the set N of natural numbers defined as R = { (x,y) : y=x+5 and x<4} The text book says that it is transitive. I dd not understand how it is transitive. Please help.
Q) Determine whether the following relation is transitive Relation R in the set N of natural numbers defined as R = { (x,y) : y=x+5 and x<4} The text book says that it is transitive. I dd not understand how it is transitive. Please help.
This is a trick question in that the relation is vacuously transitive.
If then which implies that .
So that means that
So the relation is transitive by default.