A relation R is defined from real number to real number such that aRb ⇒ a - b is a non negative integer. Then relation R is
A relation R is defined from real number to real number such that aRb ⇒ a - b is a non negative integer. Then relation R is Correct Answer reflexive, transitive but not symmetric
a - a = 0 ⇒ non negative integer so reflexive v.
a - b = non negative integer v.
⇒ (b - a) ≠ non negative integer v.
⇒ a - b = I1(non negative integer v.
⇒ then rc I1 + I2 = a - b + b - c = non negative integer v.
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Feb 20, 2025