12. Consider these statements: i) Tom, a student in this class, knows how to write programs in Java. ii) iii) Everyone who knows how to write programs in Java can get a high-paying job. Someone in this class can get a high paying job. a) Let P(x) = x is in this class Q(x) = x knows how to write program in Java R(x) x can get a high pay job Express the statements using quantifiers, P(x), Q(x) and R(x). b) Prove by formal reasoning that the premises i) & ii) imply the conclusion iii).