In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answer. Let X = { a , b , c } and P ( X ) be the power set of X . A relation N is defined on P ( X ) as follows: For every A , B , ∈ P ( X ) , A N B ⇔ the number of elements in A is not equal to the number of elements in B .
In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answer. Let X = { a , b , c } and P ( X ) be the power set of X . A relation N is defined on P ( X ) as follows: For every A , B , ∈ P ( X ) , A N B ⇔ the number of elements in A is not equal to the number of elements in B .
Solution Summary: The author explains whether the given relation is reflexive, symmetric, transitive or none of these. The relation N is reflective if it contains (B,B) for all B.
In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answer.
Let
X
=
{
a
,
b
,
c
}
and
P
(
X
)
be the power set of X. A relation N is defined on
P
(
X
)
as follows: For every
A
,
B
,
∈
P
(
X
)
,
A
N
B
⇔
the number of elements in A is not equal to the number of elements in B.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY