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  • Let R be a relation from N to N defined by R = {(a, b) : a, b belongs to N and a = b^ 2 }. Are the following true?

Q9 (1)  Let R be a relation from N to N defined by R = \left \{ ( a,b): a,b \epsilon N \: \:and \: \: a = b ^ 2 \right \} . Are
            the following true?

            ( a,a ) \epsilon R , for all a \epsilon N

Answers (1)

best_answer

It is given that
R = \left \{ ( a,b): a,b \epsilon N \: \:and \: \: a = b ^ 2 \right \}
And
  ( a,a ) \epsilon R ,  for all  a \epsilon N
 Now, it can be seen that  2 \ \epsilon \ N  But, 2 \neq 2^ 2 = 4
Therefore, this statement is FALSE 

Posted by

Gautam harsolia

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