I need help on these two
1 answer:
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Without further info, like distances
check the picture
check the picture
Answer:
Yes
Step-by-step explanation:
Given that a relation R is defined on the set Z by "a R b if a - b is divisible by 5
for a, b in the set of integers.
Reflexive:
We have
for any a,
i.e. (a,a) is related. Hence reflexive
ii) Symmetric:
If a-b is divisible by 5, then b-a is also divisible by 5. Hence symmetric
iii) Transitive
If
adding we get
Hence R is transitive
It follows that R is an equivalence relation on Z