The relation R defined on the set of natural numbers as (a,b):adiffersfrombby3 is given by:
(1,4),(2,5),(3,6)...
(4,1),(5,2),(6,3),...
(1,3),(2,6),(1,3),...
None of the above
Explanation for the correct option:
Define the elements of the given relation.
Given: a differs from b by 3
a–3=ba=b+3
If N=1,2,3,4….
b=1,a=4b=2,a=5b=3,a=6
Thus, the relation becomes (4,1),(5,2),(6,3)…...
Hence, option B is the correct answer.
The relation R defined on the set of natural numbers as {(a,b):a exceeds b by 3}, is given by
The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by
The relation R defined on the set of natural numbers as {(a, b) : a is greater than b by 3}, is given by