For all real numbers x and y, is less than or equal to

X + Y

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2

provide a counter example for statements that are false and provide a complete proof for those that are true

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- January 30th 2009, 07:29 AMtreethetaMathematical proofs
For all real numbers x and y, is less than or equal to

X + Y

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2

provide a counter example for statements that are false and provide a complete proof for those that are true - January 30th 2009, 07:52 AMkalagota
- January 30th 2009, 07:54 AMo_O
Start with this:

Playing around with it gives us:

- January 30th 2009, 07:56 AMtreetheta
oh wow thanks

I was thinking so hard on that one too,

can you help me out with something else too i got a test in 2 hours xD

If we are asked to write the contrapostive of a conditional statement ( For each integer n, if is an odd integer, then n is an odd integer)

would the contra positive be replacing the odd's with even? - January 30th 2009, 08:00 AMChop Suey
- January 30th 2009, 08:08 AMtreetheta
so the contrapositive would be if n is even then n^2 is even?