Question
Let N denote the set of all natural numbers. Define two binary relations on N as and . Then.
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Text solutionVerified
Define two binary relations on N as and
From , and
So, possible values for and are:
i.e
i.e
i.e
i.e
Therefore, Range of is
is not symmetric
Also, is not transitive because but
Thus, options A,B and D are incorrect.
From , and
So, possible values for and are:
i.e
i.e
i.e
i.e
Therefore, Range of is
is not symmetric
Hence, option C is correct.
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Question Text | Let N denote the set of all natural numbers. Define two binary relations on N as and . Then. |
Answer Type | Text solution:1 |
Upvotes | 150 |