Please Solve R.D. Sharma class 12 Chapter relations Exercise 1.1 Question 10 Maths textbook Solution.
Answer:
Domain of is x ∈ N where x∈
and
range of is y ∈ N where
The relation having properties of being neither symmetric nor transitive nor reflexive.
Hint:
A relation R on set A is
Reflexive relation:
If for every
Symmetric relation:
If is true then
is also true for every
Transitive relation:
Given:
Solution:
The domain of
Since , largest value that
can take corresponds to the smallest value that
can take.
Range of is
such that
Since
Since ,is not reflexive.
Also, since is not symmetric.
Finally, since is not transitive.