Number 4 on this photo

13:26 Safari LTE Hw4 I. a) Define F:Z Z by the rule F(n)-2-3n, for all integers n, i Is Fone-to-one? (Prove or give a counterexample) i) Is F onto? (Prove or give a counterexample.) b) Define G : R R by the rule G(x) 2-3x, for all real number x. j) Is G one-to-one? (Prove or give a counterexample) ii) Is G onto? (Prove or give a counterexample.) 2. Determine which of the properties are true for all functions f from a set X and which are false for some function f. Justify your answers a) For all subsets A and B of X, if AcB, them f(As f(B). b) For all subsets A and B of X,AUB)-aU(B) 3.Compute 20172017 mod 13 4. Consider the following sets: A=(q} Bs|A] C={B) D={A, Indicate the following True (T) or False (F) T F 8 A E B 0 A E C 12 A E D 13 AD 15 BA 16 B 17 BSC 18 BE D 19 B 20 E D 14 BE A