discrete math

7. Let P denote the set of all phones in the world such that pP is a phone. Thus, S(p) denotes that " p is a Samsung TM phone", N(p) denote that " p is a Nokia TM phone", and G(p) denote that " p is a Google TM phone". Therefore, express each of the following statements using quantifiers, logical operations, and the propositional functions: S(p),N(p),G(p). (a) There is a Google TM phone that is also a Samsung TM phone. (b) Every Nokia TM phone is a Google TM phone. (c) No Nokia TM phone is a Google TM phone. (d) Some Nokia TM phones are also Samsung TM phones. (e) Some Nokia TM phones are also Google TM phones and some are not