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A binary relation R on N × N is defined as follows: (a, b)R(c, d) if a ≤ c or b ≤ d.

Consider the following propositions: 

P: R is reflexive 

Q: R is transitive 

Which one of the following statements is TRUE? 

(A) Both P and Q are true 

(B) P is true and Q is false 

(C) P is false and Q is true 

(D) Both P and Q are false

1 Answer

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(B) P is true and Q is false 

26. It is reflexive as every ordered pair is related to itself 

(a,b) R (a,b) since a ≤ a or b ≤ b

It is not transitive as (2,4)R(3,2) & (3,2) R(1,3) but (2,4) R (1,3)

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