David Rodgers
2022-03-23
Cecilia Nolan
Beginner2022-03-24Added 13 answers
Step 1
Given:
where
We have to prave that R is an wquivalence
Now we day r is an equivalence velation on
A:if
a) reflexiving: for all , a R a
b) symmetre: for all if a R b
then b R a
c) transitibity:foe all if
a R b and b R c then a R c
Step 2
Now when ,then
which is always divide by 7
So R is reflexive
Now suppose x R y ie
then we have that
then
Step 3
So implies
Thefore R is transitive
Now suppose x R y and y R z where
Then
Then
ie and for some
Now
Since
Thefore
So,
ie r is transitive
thefore r is an equivalence relation on A
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