Let R be a relation from N to N defined by R - a - b - a - b - N- and -a - b 2Then which of the following is not true-A- a- b - R -b- a - RB- All of the aboveC- a- b - R-b- c - R -a- c - RD- a - a - R- for all a - N

The correct option is B All of the above ...

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Identity Function

Let R be a re...

Question

Let R be a relation from N to N defined by
R = {(a, b):a, b ϵ N and a = b² }
Then which of the following is not true?

All of the above

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(a, b) ϵ R, (b, c) ϵ R → (a, c) ϵ R

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(a, b) ϵ R → (b, a) ϵ R

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(a, a) ϵ R, for all a ϵ N

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Similar questions

Let R be a relation from N to N defined by R = {(a, b) : $a, b ϵ N$ and $a = b^{2}$ }.

Are the following statements true ?

(i) $(a, a) ϵ R$ for all $a ϵ N$

(ii) $(a, b) ϵ R \Rightarrow (b, a) ϵ R .$

(iii) $(a, b) ϵ R$ and $(b, c) ϵ R \Rightarrow (a, c) ϵ R .$

Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b²}. Are the following true?

(i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R

(iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R.

Justify your answer in each case.

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

(i) $(a, a) ϵ R$ for all $a ϵ N$

(ii) $(a, a) ϵ R$ implies $(b, a) ϵ R$

(iii) $(a, b) ϵ R, (b, c) ϵ R$ implies $(a, c) ϵ R$

Justify your answer in each case.

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