Question #7

Hello. The first sentence on question #27 states: Unless the residents of Glen Hills band together, the proposal to rezone that city will be approved. On the explanation video, that statement is diagrammed as: Not band together---> Proposal approved And then of course reversing and negating the above in order to arrive at its contrapositive. Is that not wrong since " 'unless' introduces a necessary condition," which would mean that "not band together" should go after the arrow since the diagram is supposed to reflect the rule "S ----> N" and not "N --->S" ? This is all very misleading, unless of course I am just completely mistaken, which is probably what it is. Should the proper diagram not be: proposal NOT approved ---> Band together Band Not together ---> proposal approved (contrapositive) It seems that what LMAX wrote down as the contrapositive should have come first and then vice versa. The rule, along, with the example that LMAX gave us concerning "unless" statements is different than what we learned in the Sufficient and Necessary Conditions Video in the 1 hour, 30 minutes and 32 seconds mark: "Unless" statements The Rule: Step 1: "Unless" introduces a necessary condition so the part of the sentence that follows "unless" will be the necessary condition. Step 2: Negate the other part of the sentence and make it the sufficient condition. LMAX's example: A person cannot win the lottery "unless" she buys a ticket. WL ---> BT not buy ticket ---> not win lottery (contrapositive) Where did I go wrong?