Which of the following is not an equivalence relation on I, the set of integers `x,y in I` ?

Which of the following is not an equialence relation on I (set of all integers) ?

Which of the following are not equivalence relations on I?

Which of the following is not an equivalence relation on Z ? a\ R\ bhArra-b is an even 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)

(i) Prove that the relation ""_(x)R_(y) iff 3 is a factor of (x-y) , defined on the set of integers is an equivalence relation. (ii) If x is the set of real numbers, then prove that the relation R={(a,b): a in x, b in x and a=b} is an equivalence relation.

Let L be the set of all lines in the XY-plane and R be the relation in L defined by : R = {(l_i l_j) = l_i is parallel to l_j. Aai,j} Show that R is an equivalence relation. Find the set of all lines related to the y = 7x +5.

Let L be the set of all lines in the XY - plane and R be the relation in L defined by R={(l_(i)l_(j))|l_(i)" is parallel to "l_(j)l_(i)AA_(i),j} . Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5

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