InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Let A = {p, q, r(. Which of the following isnot an equivalence relation on A?B. R2 = {(r, q), (r, p), (r, r), (q, q)}D. of these |
|
Answer» Inmathematics, anequivalence relationis abinary relationthat isreflexive,symmetricandtransitive. The relation "is equal to" is the canonical example of an equivalence relation, where for any objectsa,b, andc: a=a(reflexive property),ifa=bthenb=a(symmetric property), andifa=bandb=cthena=c(transitive property). As a consequence of the reflexive, symmetric, and transitive properties, any equivalence relation provides apartitionof the underlying set into disjointequivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class. so accordingly Option (c) is not an equivalence relation what is the answer |
|