UGC-NET | UGC NET CS 2018 Dec – II | Question 46

The relation ≤ and x ≤ y and only if x ∨ y = y x y means y < x

Consider the above definitions, which of the following is not true in the boolean algebra ?

(i) If x ≤ y and y ≤ z, then x ≤ z
(ii) If x ≤ y and y ≤ x, then x=y
(iii) If x
(iv) If x

(A) (iv) only
(B) (iii) only
(C) (i) and (ii) only
(D) (ii) and (iii) only

Answer: (B)
Explanation: In Boolean algebra, x<y and y<z, then x<y is true but x=y is false.
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