Let N denote the set of all natural numbers.
Define two binary relations on N as
and
Then :
Range of is {2, 4, 8}.
Range of is {1, 2, 3, 4}.
Both and are symmetric
relations
Both and are transitive
relations
As we have learned
Range -
The range of the relation R is the set of all second elements of the ordered pairs in a relation R.
- wherein
eg. R={(a,b),(c,d)}. Then Range is {b,d}
So for
i.e.
for
Option 1)
Range of is {2, 4, 8}.
Option 2)
Range of is {1, 2, 3, 4}.
Option 3)
Both and are symmetric
relations
Option 4)
Both and are transitive
relations
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