Ask Experts Questions for FREE Help !
Ask
    Gilgames's Avatar
    Gilgames Posts: 6, Reputation: 1
    New Member
    		  
    #1

    Dec 5, 2006, 10:11 AM
    Which set is S?
    Consider the set S which is defined as:

    1. (1,1) belongs to S
    2. if (x,y) belongs to S, then (y,x) belongs to S
    3. if (x,y) belongs to S, then (x,x+2y) belongs to S.

    What set is S?

    Help: focus on the sum of the numbers in each pair.

    Any ideas? :confused:
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
    Full Member
    		  
    #2

    Dec 5, 2006, 01:34 PM
    do you need to show a proof? Try to write out some examples and see what you get.
    start with (1,1). If (1,1) is in the set what is the (x,x+2y) that is in the set? If (y,x) is in the set then (x+2y,x) must be in the set also.

    I'm saying that s is the set of all positive odd integer pairs who's sum is a positive integer power of 2. I can deduce this from looking at a few examples but I'm not currently able to show it mathematically. Any help?
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Set up package [ 3 Answers ]

How to create set up package?

Shoot-set and Quick-set Combo [ 2 Answers ]

I have not seen this yet, but I haven't seen everything... lol I was thinking that these two misdirection sets could be used in a single play because the quick-set causes the opponent to position, dig-in, and focus on the quick-set hitter, but the ball could be shoot-set along the net for anyone...

View more questions Search