(a) Determine the truth value of each of these statements if the domain consists of all real numbers. (True/False) i) ii) (2 marks) (b) Let D(x) be "x is a data scientist", K(X) be "x has application domain knowledge", H(x) be "x is a hacker" and S(x) be "x is a software developer". Express the following statement by using the predicate logic. i) All data scientists have application domain knowledge. ii) No hackers have application domain knowledge. Some software developers are data scientists. No data scientists are hackers. iii) Vx(2x>x) Vx(x + x) iv) v) Although all data scientists are software developers, some are hackers if they do not have application domain knowledge. (c) Given the three premises: (6 marks) (a ^ b), a (b ^ c), d c Show a valid argument for the conclusion d by using rules of inferences. (6 marks)