Could someone please check my work

For each subset of RR, give it's supreman and its Maximum, if they exist, and briefly explain your answer. a ) E9, 113 MaximUM = SupreMUM = 11 Justification: A maximum is a supremum That is in The Set 89,113. A Supremum is The least upper bound of The Set 89, 115 6) [ 11, 15) Since The ser is bounded above by or least one no MaximUM in The real number greater than or equal To all numbers SET, namely 9 and 11, The least upper Supre MUM = 15 bound is line., The supremum, and Since 11 is in The ser, it is also The Maximum. C) 515: neINS Justification : A maximum is a Supremun That is in The Set Moxi MUM = SupreMum = 15 [11, 15) . A supremar is the least upper bound of The Sat Justification: A Maximum [1, 15). Since The set is is a supremem That bounded above by at least is in The ser 515in EINS. one real number greater Then or equal to call A Supremun is The least numbers in The ser, The upper bound of the fer. least upper bound is 15, Since The set is bounded ie ., The supremen , but above by or leapt one since 15 is NOT in The real number greater than Ser, there is no Maximum or equal To all numbers of The ser. in The ser, The lease upper bound is 15, ie., The supremum, and since 15 is in The Set, is is also The Maximum