OMG I cant figure these stuff out
For all y there exists an x such that x is less than or equal to y

Question

OMG I cant figure these stuff out
For all y there exists an x such that x is less than or equal to y

kinggeorge · Answer

What do you think and why?

swissgirl · Answer

well its true but i wld think its false

mertsj · Answer

I'm thinking of a number.  Can you think of  a number less than my number?

swissgirl · Answer

ya cuz its all real numbers

mertsj · Answer

My number is x.  What is a number less than my number?

swissgirl · Answer

its y

kinggeorge · Answer

It doesn't even have to less than his number. It has to be less than OR equal to his number.

mertsj · Answer

How about x-1?

mertsj · Answer

Wouldn't that be less than x?   And we could call it y if we wanted to.

mertsj · Answer

Or how about x-0?  That would be equal to x.  We could call it y if we wanted to.

swissgirl · Answer

arrrggghhh think i am gonnna take a break for the day lol

swissgirl · Answer

I have one question though y is this false
There exists an x that for all y x is less than or equal to y

kinggeorge · Answer

That has to do with the order. It's saying that there is some number $x$ such that $x$ is less than or equal to $every$ $single$ y in existence.

kinggeorge · Answer

It's false, because you can choose any $x$, and I'll simply choose $y=x+1$. Since this exists, the statement is false.

swissgirl · Answer

give me a sec i gotta process that

swissgirl · Answer

okk gotcha thanks King for having patience with me

swissgirl · Answer

ohhh now everything is really clear. THANNKKKSSSS

kinggeorge · Answer

You're welcome.