(adsbygoogle = window.adsbygoogle || []).push({}); ANALYSIS --Really hard ..Please help me

Are these TRue or FALSE Im trying to figure it out for 3 hours now and Im really stuck

1) For all x and all y, there exists a z such that x+y=z

I know is True

2) For all x there exists a y such that for all z, x+y=z

I think this is true too since y=z-x and then For all x, there exists a y

=z-x such that for all z, x+z-x=z...?

3) There exists a x such that for all y, there exists a z such that xz=y.

TRUE?

4)For all x and all y, there exists z such that yz=x

TRUE because z=x/y ..always works

5) For all x there exists y such that for all z, z>y implies that z>x+y

This one took me a long time ...TRue? because if y=abs(x)+1

would work ?

6) For all x and all y, there exists a z such that z>y implies that z>x+y.

I couldn figure this one out ..but I think it oculd be false

PLease Help

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# ANALYSIS -Really hard Please help me

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