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{"ops":[{"insert":"38)"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Let \ud835\udc34 = {2,3,4,5,6,7,8,9} and define an order relation \u223c on \ud835\udc34 by the following: For all \ud835\udc4e, \ud835\udc4f \u2208 \ud835\udc34, \ud835\udc4e \u223c"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"\ud835\udc4f if, and only if, there exists an integer \ud835\udc61 such that \ud835\udc4f = \ud835\udc61\ud835\udc4e. Then, in the poset (\ud835\udc34, \u223c)"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"A) The minimal elements are 2 and 3 and the maximal elements are 6, 8 and 9."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"B) The minimal elements are 2, 3, 4 and 5 and the maximal elements are 6, 7, 8 and 9."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"C) There are no minimal elements, nor any maximal elements."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"D) The minimal elements are 2, 3, 5 and 7 and the maximal elements are 5, 6, 7, 8 and 9."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"39)"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Let \ud835\udc34, \ud835\udc35, \ud835\udc36 and \ud835\udc37 be sets, and let \ud835\udc45 \u2286 \ud835\udc34 \u00d7 \ud835\udc35, \ud835\udc44 \u2286 \ud835\udc35 \u00d7 \ud835\udc36 and \ud835\udc43 \u2286 \ud835\udc36 \u00d7 \ud835\udc37 be relations. Then the "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"relations (\ud835\udc45 \u2218 \ud835\udc44) \u2218 \ud835\udc43 and \ud835\udc45 \u2218 (\ud835\udc44 \u2218 \ud835\udc43), from \ud835\udc34 to \ud835\udc37"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"A) must not be equal."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"B) are sometimes equal, and sometimes not, depending on the sets \ud835\udc34, \ud835\udc35, \ud835\udc36,\ud835\udc37 and the relations \ud835\udc45, \ud835\udc44"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"and \ud835\udc43."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"C) must be equal."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"D) are not defined"},{"insert":"\n"}]}

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