Set, Relation and FunctionHard
Question
Let R be a relation defined on N × N by (a, b) R(c, d) ⇔ a(b + c) = c(a + d). Then R is
Options
A.reflexive, symmetric
B.symmetric, transitive
C.transitive only
D.equivalence
More Set, Relation and Function Questions
If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relatio...If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by ′x is greater than y′. The ran...Let $A = \{ - 2, - 1,0,1,2,3,4\}$. Let R be a relation on A defined by xRy if and only if $2x + y \leq 2$. Let $l$ be th...In the set A = {1, 2, 3, 4, 5}, a relation R is defined by R = {(x, y) | x, y ∈ A and x < y}. Then R is -...f : R → R, f(x) = . If the range of this function is [-4, 3), Then find the value of |m + n| is :-...