The minimum number of elements that must be added to the relation on the set so that it is an equivalence relation is

Question

The minimum number of elements that must be added to the relation $R = {(a, b), (b, c)}$ on the set ${a, b, c}$ so that it is an equivalence relation is _____

Smart Achievers · Accepted Answer

(7)

$R = {(a, b), (b, c), (a, a), (b, b), (c, c), (b, a), (c, b), (a, c), (c, a)}$

Solution

Q.
The minimum number of elements that must be added to the relation $R = {(a, b), (b, c)}$ on the set ${a, b, c}$ so that it is an equivalence relation is _____

Ans.
(7)

$R = {(a, b), (b, c), (a, a), (b, b), (c, c), (b, a), (c, b), (a, c), (c, a)}$

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Solution

Q. The minimum number of elements that must be added to the relation R={(a,b),(b,c)} on the set {a,b,c} so that it is an equivalence relation is _____

Ans. (7) R={(a,b),(b,c),(a,a),(b,b),(c,c),(b,a),(c,b),(a,c),(c,a)}

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Q.
The minimum number of elements that must be added to the relation $R = {(a, b), (b, c)}$ on the set ${a, b, c}$ so that it is an equivalence relation is _____

Ans.
(7)

$R = {(a, b), (b, c), (a, a), (b, b), (c, c), (b, a), (c, b), (a, c), (c, a)}$