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"n/m" means that n is a factor of m, then the relation T is
- a)relexive and symmetric
- b)transitive and symmetric
- c)relexive, transitive and symmetric
- d)relexive, transitive and not symmetric
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
"n/m" means that n is a factor of m, then the relation T isa...
′/′ is reflexive since every natural number is a factor of itself that in n/n for n∈N.
′/′ is transitive if n is a factor of m and m is a factor of P, then n is surely a factor of P.
However, ′/′ is not symmetric.
example, 2 is a factor of 4 but 4 is not a factor of 2.
′/′ is transitive if n is a factor of m and m is a factor of P, then n is surely a factor of P.
However, ′/′ is not symmetric.
example, 2 is a factor of 4 but 4 is not a factor of 2.
Most Upvoted Answer
"n/m" means that n is a factor of m, then the relation T isa...
R={(n,m):n/m,means n is the factor of m}
For reflexive,
(a,a)€R
for this a should be the factor of a which is true and hence the relation is reflexive
For symmetric,
if n,m to R
then m, n and should also be
but cannot be happen
so, relation is not symmetric
example:3 is the factor of 6
but 6 is not the factor of 3
For transitive ,
if n,m belongs to R
and m,o belongs to R
then automatically n,o belongs to R
therefore relation is transitive
hence the relation is reflexive and transitive but not symmetric
hence option D
For reflexive,
(a,a)€R
for this a should be the factor of a which is true and hence the relation is reflexive
For symmetric,
if n,m to R
then m, n and should also be
but cannot be happen
so, relation is not symmetric
example:3 is the factor of 6
but 6 is not the factor of 3
For transitive ,
if n,m belongs to R
and m,o belongs to R
then automatically n,o belongs to R
therefore relation is transitive
hence the relation is reflexive and transitive but not symmetric
hence option D
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Community Answer
"n/m" means that n is a factor of m, then the relation T isa...
′/′ is reflexive since every natural number is a factor of itself that in n/n for n∈N.
′/′ is transitive if n is a factor of m and m is a factor of P, then n is surely a factor of P.
However, ′/′ is not symmetric.
example, 2 is a factor of 4 but 4 is not a factor of 2.
′/′ is transitive if n is a factor of m and m is a factor of P, then n is surely a factor of P.
However, ′/′ is not symmetric.
example, 2 is a factor of 4 but 4 is not a factor of 2.
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"n/m" means that n is a factor of m, then the relation T isa)relexive and symmetricb)transitive and symmetricc)relexive, transitive and symmetricd)relexive, transitive and not symmetricCorrect answer is option 'D'. Can you explain this answer?
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Solutions for "n/m" means that n is a factor of m, then the relation T isa)relexive and symmetricb)transitive and symmetricc)relexive, transitive and symmetricd)relexive, transitive and not symmetricCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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