Consider the inclass example about Gerlandas pizza see slide

Consider the in-class example about Gerlanda\'s pizza (see slide 1.11 of the Set Theory lecture). Using set theory, answer the following: Are T and M mutually exclusive? Are N, T, and M collectively exhaustive? Are T and O mutually exclusive? Does Gerlanda\'s make Tuscan pizzas with mushrooms and onions? Does Gerlanda\'s make Neapolitan pizzas that have neither mushrooms nor onions? Is the set {N, T} a partition? Explain.

Solution

a. No, T and M have common elements between them.

b. No.

c. Yes. They dont have any element common between them.

d. No. Gerlanda\'s make tuscan pizza with mushrooms only.

e. No.

f. Yes