Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if andonly if ad=bc. (a) Show that R is an equivalence relation. (b) Whatis the equivalence class of (1,2)? List out at least five elementsof the equivalence class. (c) Give an interpretation of theequivalence classes for R. [Here, an interpretation is adescription of the equivalence classes that is more meaningful thana mere repetition of the definition of R. Hint: Look at the ratioa/b corresponding to (a, b).
