Question: An engineering firm is considering the possibility of establishing a branch office in Toronto and one in Mexico City. Let T be the event that the firm will establish a branch office in Toronto and M be the event that the firm will establish a branch office in Mexico City.
(a) Express each of the events described below in terms of set operations on T and M.
(i) The firm establishes a branch office in both cities.
(ii) The firm establishes a branch office in neither of the cities.
(iii) The firm establishes a branch office in exactly one of the cities.
(b) For each of the three subparts of part (a), draw a Venn diagram that shows the events T and M and shade the event described.