I am stuck with a question about relations which I have stated below.
$A$ and $B$ are sets of real numbers and $aRb$ iff $2a+3b=6$. Find the domain and range of $R$.
Now the problem I am facing is that there can be numerous pairs which satisfy this relationship. Here are some,
$(0,2), (3,0), (2,3/2), \ldots$
But the problem is that how will I calculate the domain and range for this? Is there any other way I can find the domain and range? Or maybe another way to find all the pairs that satisfy the relation?
Thanks in advance.