To find $R\circ R^{-1}$ in Discrete mathematics Today I came across a question in DMS which says:

If $R$ is the relation “Less Than” from $A = \{1, 2, 3, 4\}$ to $B = \{1,3,5\}$ then find $R\circ R^{-1}$.

Now what is $R\circ R^{-1}$?
I know how to find $R\circ R$, 
like in this question firstly we will find $R$ where 
$$R= \{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}$$
and then $R\circ R$ would be:
$$\{(1,5),(2,5),(3,5),(4,5)\}.$$
Please correct me if I'm wrong.
And also please explain how to find $R\circ  R^{- 1}$?
Thanks in advance :-) 

I'm not 100% sure, but I think this is correct..
$$R\circ R=\{(1,5),(2,5)\}$$
therefore
$$R\circ R^{-1}=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}$$
or simpler
$$R\circ R^{-1}=\{(a,b)|a,b \in 1,2,3,4\}$$
