PT60.S3.Q17 - any food that is not sterilized and sealed can contain bacteria

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• 1 Like

  Cant Get Right Yearly + Live Member Sage ⭐ 🍌 7Sage Tutor

  July 2016 27822 karma

  You apply DeMorgan’s Law when taking a contrapositive. The correct DeMorganized version would be:
  
  /can contain bacteria —> Sterilized and Sealed
  
  So you’re basically taking the contrapositive, business as usual: Negate, and switch sufficient/necessary. DeMorgan’s law deals with the and/or issue by just switching it around when you take the contrapositive.
• SeattlesBest Alum Member

  July 2016 165 karma

  How do we tell 'not' here applies to both 'Sterilized' and 'Sealed'?
  Shouldn’t the statement be ‘Any food that is not sterilized or not sealed can contain bacteria’?
  I'm still confused...
• SeattlesBest Alum Member

  July 2016 165 karma

  Basically..
  
  Any food that is not sterilized and sealed can contain bacteria
  Any food that is sealed and not sterilized can contain bacteria
  
  Aren't these two equivalent statements?
  
• 1 Like

  Cant Get Right Yearly + Live Member Sage ⭐ 🍌 7Sage Tutor

  July 2016 27822 karma

  I see what you're saying. Interesting. So it could potentially read:
  
  Any food that is not (sterilized and sealed)
  
  or
  
  Any food that is (not sterilized) and (sealed)
  
  How do we know to distribute the "not" across the "and?"
  
  Not sure, to be honest. Any linguists out there?
• 2 Likes

  quinnxzhang Member

  July 2016 edited July 2016 611 karma

  You need to use context to disambiguate the scope of the negation. For this question, the second sentence clarifies the scope by saying "Once sterilized and properly sealed, **HOWEVER**, it contains no bacteria." The "however" links together the first and second sentences, and because we see that "sterilized and properly sealed" are together in the second sentence, we're able to figure out that the two are together in the first sentence as well. Thus, the negation in the first sentence takes wider scope over the conjunction, i.e. not(sterilized and sealed).
• 2 Likes

  runiggyrun Alum Inactive Sage Inactive ⭐

  July 2016 2481 karma

  I think it would take a lot of mental gymnastics to read "any food that is not sterilized and sealed" to mean anything other than "not (sterilized and sealed)", especially when you know that the statement was made by someone who writes professionally and for clarity (like an LSAT writer).
  They'd say "any food that is sealed but/and not sterilized" or "any food that is not sterilized before being sealed" or "any food that is not sterilized and IS sealed".
  English is my second language, so I spent a lot of time thinking about how people use words in sentences, and that's just not the right pattern of phrasing for your secondary interpretation. I keep reading it trying to get it to mean (not sterilized) and (sealed), and somehow it always ends up sounding like a foreigner in an (offensive) funny skit.