Question

Let U be th equivalence relation on {R\0} x {R} (cartesian plane except the x-axis) defined by (x, y) is related to (u, v) if and only if xv = yu.

a.) write the equivalence class [(2, 3)]
b.) Determine the partition of {R\0} x {R} with respect to the relation U. If possible draw the partition of {R\0} x {R} .