Question:

3. Let A and B be sets such that An B - 0. Suppose R is a well-order relation on A and S is a well-order relation on B. (a) Can you find a well-order relation on the set AU B? (b) Can you find a well-order relation on the set A x B?3. (a) Try a relation T on A U B given by xTy if - x, y E A and x Ry - x, y E Band xSy or - x E A and y E B. (b) Try a relation T on A X B given by (w, x)T(y, z) if - wRy and w * y or - W = y and xSz