Question
Mon June 02, 2008 By:

show that the relation R in the set R of real number defined as R ={(a,b):a

Expert Reply
Fri September 26, 2008

Show that the relation R in the set R of real number defined as R ={(a,b):a<a<2b} is neither reflex

 

I assume that your question is :

Show that the relation R in the set R of real number defined as R ={(a,b):a<a<2b} is not  reflexive

Answer : A relation is said to be reflexive in simple english , if every element in that set is related to itself.

Now any element a  of the set R can not satisfy  a<a<2a

Because though  a<2a  is true but a<a  is not .

The relation R is not reflexive.

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