Given the following definitions, write the following sentences using symbols.

Let X = the set of Arizonans who have a job

Let P(x) = x works part time

Let T(x) = x uses public transportation

a) Some Arizonan that has a job does not work part time.

b) There is an Arizonan who has a job that works part time.

c) For all Arizonans who have a job, if they work part time then they use public transportation.

d) All Arizonans who have a job either work part time or don't use public transportation.