Hello there, I would like to know the answer to the following question, along with a preferable explanation of the steps it takes to get there so I can develop a further understanding. I am attaching a picture of the question below, thank you!

Let the set A = {points in the xyplane} = {(m,y) |x,y E R}. Consider the sets Ag : {(52:90 Ix2 + y2 = i} where i 6 R20. Do the sets A1- form a partition of A? Note that there are uncountably many real numbers greater than or equal to 0. So, if you want to talk about the union of these sets you would use the notation Utes Ali. If these sets form a partition of A, nd the corresponding equivalence relation R