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Math Help - Set Replacement

  1. #1
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    Set Replacement

    hello,

    I have a question about set replacement.

    When we have a set like :
    A
    = { x : is in Z | x < 7 · x - 2 }

    Arent we supposed to look for the integers that if we subtract 2 from them the result will be less than 7. Like, 5 for instance, 5-2 = 3 and 3 is less than 7 then 3 is a member of the set.. not sure if I'm going in the right direction here. Just wanna what should we do first, test the predicate (x<7) then apply the number to the (x-2) and see again if its less than 7 or what exactly. ?? I dont see how the bold big dote is suppsoed to operate here ??

    Hope some will help. Thanks in advance.
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  2. #2
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    Wow.. I didnt think it would be such a difficult question.
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  3. #3
    Lord of certain Rings
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    Quote Originally Posted by MMM88 View Post
    hello,

    I have a question about set replacement.

    When we have a set like :
    A
    = { x : is in Z | x < 7 · x - 2 }
    x < 7 · x - 2 notation is not clear...

    Put parenthesis to explain your question clearly...
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  4. #4
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    Actually this is exactly how I have it in my text book and thats why I was askin about the bold point in the first place..!! Anyway.. I figured it out and thanks for the help.
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