eduhilfe Latest Questions
(A) R is reflexive and symmetric but not transitive. (B) R is reflexive and transitive but not symmetric. (C) R is symmetric and transitive but not reflexive. (D) R is an equivalence relation.
Relation R in the set N of natural numbers defined as R = {(x, y) : y = x + 5 and x < 4}
(i) R = {(a, b) :|a–b| is a multiple of 4} (ii) R = {(a, b) : a = b} is an equivalence relation. Find the set of all elements related to 1 in each case.
(i) Symmetric but neither reflexive nor transitive. (ii) Transitive but neither reflexive nor symmetric. (iii) Reflexive and symmetric but not transitive. (iv) Reflexive and transitive but not symmetric. (v) Symmetric and transitive but not reflexive.
(i) a * b = a–b (ii) a * b = (iii) a * b = a + ab (iv) a * b =
Relation R in the set A = {1, 2, 3, …, 13, 14} defined as R = {(x, y) : 3x – ...
(i) Compute (2*3)*4 and 2*(3*4) (ii) Is * commutative? (iii) Compute (2*3)*(4*5). (Hint: use the following table)
Hint : Consider and
is neither one-one nor onto.
(A) 10 (B) 16 (C) 20 (D ) 8