Set Theory (proofs)

[Markets]

Hello guys,

I'm facing difficulties on solving the problems below (proving or disproving them), so I would kindly ask you to help me on this.

Thanks..

 

[Ishuda]

Hello guys,

I'm facing difficulties on solving the problems below (proving or disproving them), so I would kindly ask you to help me on this.

Thanks..View attachment 4902

Do you have any thought on how to start. For example, if an element is in the intersection of sets, it is in every set over which the intersection is taken. If it is in the union then it is in one of the sets but not necessarily in any other.

 

[HallsofIvy]

You will also, of course, need to know what "bounded" and "convex" mean! What are the definitions of those words?