Let S be the Cartesian coordinate plane RxR and define a relation R on S by (a,b)R(c,d) iff a+d=b+c. Verify that R is an equivalence relation and describe the equivalence class E(7,3).
you must show three things. R is reflexive, symmetric and transitive
(a) Reflexive: you must show that for all
(b) Symmetric: you must show that for
(c) Transitive: you must show that for
can you do that?
what do you mean E(7,3)? you mean the equivalence class that has the point (7,3) in it?and describe the equivalence class E(7,3).