Topic: Discrete Mathematics and its Applications" Chapter 9: Partial Orderings

} , 1) Variation on 9.6433.] Answer these questions for the poset ({ 5, 7, 25, 35, 40, 175 (a) Find the maximal elements. (b) Find the minimal elements. (c) Is there a greatest element? (d) Is there a least element? (e) Find all upper bounds of {5,7) (f) Find the least upper bound of {5,7}, if it exists. (g) Find all lower bounds of 35, 175 (h) Find the greatest lower bound of {35, 175], if it exists. 8