Answer the following questions concerning the poset ({3, 5, 9, 15, 24, 45}, | ) (the divisibility relation on the set) Find the maximal elements 3 5 9 15 24 45 Find the minimal elements 3 5 9 15 24 45 Find the minimum, if it exists 3 5 9 15 24 45 none Find the maximum, if it exists 3 5 9 15 24 45 none Find all upper bounds of {3,5} 3 5 9 15 24 45 none Find the least upper bound of {3,5} if it exists 3 5 9 15 24 45 none Find all lower bounds of {15,45} 3 5 9 15 24 45 none Find the greatest lower bound of {15,45} if it exists.