Question
The relation ''less than'' in the set of natural number is
- Only symmetric
- Only transitive
- Only reflexive
- Equivalence relation
The correct answer is: Only transitive
To define the given statement.
x < y, y < z
x < z V x, y, z ∈ N
xRy, yRz
xRz,
The relation is transitive.
x < y does not imply y < x.
Relation is not symmetric.
As x < x is not valid, the relation is not reflexive.
Hence, the relation is only transitive.
Related Questions to study
The relation R defined in A = {1, 2, 3} by a 
Which of the following is false-
Hence, Range of R = {5} is the wrong option.
The relation R defined in A = {1, 2, 3} by a Which of the following is false-
Hence, Range of R = {5} is the wrong option.
Let R be a relation defined in the set of real numbers by a R b 
1 + ab > 0. Then R is-
Therefore, the given relation R is symmetric.
Let R be a relation defined in the set of real numbers by a R b 1 + ab > 0. Then R is-
Therefore, the given relation R is symmetric.
A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relation which can be defined from A to B is
Therefore, the number of relations which can be defined from A to B are 
..
A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relation which can be defined from A to B is
Therefore, the number of relations which can be defined from A to B are ..
Let L denote the set of all straight lines in a plane. Let a relation R be defined by 
Then R is-
Hence, the relation R is symmetric.
Let L denote the set of all straight lines in a plane. Let a relation R be defined by Then R is-
Hence, the relation R is symmetric.
Let X={1,2,3,4} and Y={1,3,5,7,9} . Which of the following is relations from X to Y-
So the correct relations are R2 and R3.
Let X={1,2,3,4} and Y={1,3,5,7,9} . Which of the following is relations from X to Y-
So the correct relations are R2 and R3.
If Q=
then-
Hence, 
is correct.
If Q=then-
Hence, is correct.
Let A
and 
=R-D, then the set D is
Therefore, set of D is 
.
Let Aand =R-D, then the set D is
Therefore, set of D is .
Which set is the subset of all given sets ?
Therefore, { } is a subset of all givens sets.
Which set is the subset of all given sets ?
Therefore, { } is a subset of all givens sets.
Let A and B be two sets such that n(A) = 70, n(B) = 60 and 
= 110. Then 
is equal to-
Therefore, n(A∩B) = 20
Let A and B be two sets such that n(A) = 70, n(B) = 60 and = 110. Then is equal to-
Therefore, n(A∩B) = 20
The shaded region in the given figure is
The shaded region in the given figure is
Which of the following are true ?
Therefore, from the given options, 
is true.
Which of the following are true ?
Therefore, from the given options, is true.
The set of intelligent students in a class is-
The set of intelligent students in a class is-
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 5}, B = {6, 7} then 
is-
Therefore, A ⋂ B’ = A.
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 5}, B = {6, 7} then is-
Therefore, A ⋂ B’ = A.
If 
, then 
is equal to-
Therefore, is equal to = A
If , then is equal to-
Therefore, is equal to = A
, where t is the time taken. The body is undergoing.
