Which of the following relations is not symmetric? `R_1,` on R defined by `(x,y) in R_1 hArr1 + xy > 0` for all `x, y in R`

The relation R on the set N of all natural numbers defined by (x,y)in R hArr x divides y, for all x,y in N is transitive.

Determine whether each of the following relations is reflexive, symmetric and transitive. Relation R in the set Z of all integers defined as R = {(x,y) :x-y is an integer}

In the set Z of all integers, which of the following relation R is not an equivalence relation? x\ R\ y : if xlt=y (b) x\ R\ y : if x=y (c) x\ R\ y : if x-y is an even integer (d) x\ R\ y : if x=y (mod 3)

In the set Z of all integers, which of the following relation R is not an equivalence relation? x\ R\ y : if xlt=y (b) x\ R\ y : if x=y (c) x\ R\ y : if x-y is an even integer (d) x\ R\ y : if x=y (mod 3)

Write the following relations as the sets of ordered pair: A relation R on the set {1,2,3,4,5,6,7} defined by (x,y)in R hArr x is relatively prime to y .

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set Z of all integers defined as ={ (x,y) : x - y is an integers }

A relation phi from C to R is defined by x phi y hArr|x=y. Which one is correct?

Let a relation R in the set of natural number be defined by (x,y) in R iff x^(2)-4xy+3y^(2)=0 for all x,y in N . Then the relation R is :

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A= {1, 2, 3, …, 13, 14} defined as " " R = { (x, y ) : 3x - y =0}

Which one of the following relations on R is equivalence relation x R_1y |x|=|y| b. x R_2y xgeqy c. x R_3y x|x y(xd i v i d e sy)| d. x R_4y x