Let R_1=(a,b) ∈ NxN:|a-b| 13and R_2 =(a,b) ∈ NxN: |a-b| 13. Then on N:

Question

Accepted Answer

Correct answer: B. (b) R_1=(a,b) ∈ NxN: |a-b| 13 R2=(a,b) ∈ NxN:|a-b| 13. For R_1: (i) Reflexive relation (a,a) ∈ NxN: |a-a| 13 (ii) Symmetric relation (a ,b ) ∈R_1 , (b ,a ) ∈R_1 :(b-a) 13 (iii) Transitive relation (a ,b ) ∈R_1 , (b ,c ) ∈R_1 , (a ,c ) ∈R_1 : (1 ,3 ) ∈R_1 (3 ,16 ) ∈R_1but (1 ,16 ) R_1 For R2: (i) Reflexive relation (a,a) ∈ NxN:|a-a| 13 (ii) Symmetric relation (b,a) ∈ NxN:|b-a| 13 (iii) Transitive relation (a,b) ∈ R2,(b,c) ∈ R2,(a,c) ∈ R2 (1, 3) ∈ R2, (3, 14) ∈ R2 but (1, 14) R2

$Let R_{1} ={(a,b) \in NxN:|a-b| \leq 13}and R_{2} ={(a,b) \in NxN: |a-b| \neq = 13}. Then on N:$

Solution

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