Question

A Universal relation is the relation R in X can be given by R=

Answer 1

Answer:Universal relation is a relation on set A when A X A  

⊆

A X A. In other words, universal-relation is the relation if each element of set A is related to every element of A.

For example : Relation on the set A = {1,2,3,4,5,6} by

R = {(a,b)  

∈

R : |a -b|

≥

0}

We observe that |a -b|

≥

0 for all a, b  

∈

A

⇒

(a,b)

∈

R for all (a,b)  

∈

A X A

⇒

each element of set A is related to every element of set A.

⇒

R = A X A

⇒

R is a universal relation on set A.

Note : It is to note here that the void relation and the universal relation on a set A are respectively the smallest and the largest relations on set A.

Both the void and universal relation are sometimes called trivial relations .

Step-by-step explanation:

Answer 2

here's ur answer dude

Universal relation is a relation on set A when A X A

⊆

A X A. In other words, universal-relation is the relation if each element of set A is related to every element of A.

For example : Relation on the set A = {1,2,3,4,5,6} by

R = {(a,b)

∈

R : |a -b|

≥

0}

We observe that |a -b|

≥

0 for all a, b

∈

A

⇒

(a,b)

∈

R for all (a,b)

∈

A X A

⇒

each element of set A is related to every element of set A.

⇒

R = A X A

⇒

R is a universal relation on set A.

Note : It is to note here that the void relation and the universal relation on a set A are respectively the smallest and the largest relations on set A.

Both the void and universal relation are sometimes called trivial relations .

hope it helps