Relations and Functions

[AaryanR12]

Q] Let R be a relation on a collection of sets defined as follows,

R={(A,B)|A⊆B}
Then pick out the correct statement(s).


1. R is reflexive and transitive


2. R is symmetric


3. R is antisymmetric.


4. R is reflexive but not transitive.

 

[pka]

Q] Let R be a relation on a collection of sets defined as follows,

R={(A,B)|A⊆B}
Then pick out the correct statement(s).
1. R is reflexive and transitive
2. R is symmetric
3. R is antisymmetric.
4. R is reflexive but not transitive.

You must at least give us some of your work on this question.
If \(A\mathcal{R} B~\&~B\mathcal{R} C\) then \(A\subseteq B~\&~B\subseteq C\). what dos that tell us?