Let a relation R on ℕ × ℕ be defined as :

(x1, y1) R(x2, y2) if and only if x1 ≤ x2 or y1 ≤ y

Consider the two statements :   

(I) R is reflexive but not symmetric. 

(II) R is transitive 

Then which one of the following is true ?   

1
Only (II) is correct. 
2
Only (I) is correct. 
3
Both (I) and (II) are correct.
4
Neither (I) nor (II) is correct. 

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