Solutions for Some Problems in Week #8 Homework: 5.2 8> a. True b. False: Let a = 2.5. Then floor function(2.5) = 2 <> 3 = ceiling = function(2.5) c. True. Pay attention to the fact that a belongs to R-Z d. False Let a = 2.5. Then -ceiling function(2.5)=-3 <> -2 = ceiling function(-2.5) 12> Case 1: k|n n = qk for q belongs to Z+, and (n-1)/k = (qk-1)/k = q-(1/k) with q-1<=q-(1/k)