Originally Posted by

**otownsend** [FONT="]*Hi,*

I hope someone can help. I'm trying to figure out whether the following statements are true or false:

1) ∅ ⊂ [/FONT][FONT="]*S*[/FONT][FONT="]* for all sets *[/FONT][FONT="]*S*

I would say that this is false since we don't know what is contained within the set of S. But perhaps since we don't know, we assume that it contains nothing and therefore it is true?

2) ∅ ∩ S = ∅ for all sets S

This statement would suggest that S contains elements, and so therefore the answer is null since [/FONT]*∅ never overlaps with the set S. Again, I don't really know what the value of S represents, so I'm left here to assume that elements exist in the set - so I'm not going to say anything about the statement until I have a better sense of what S is. *

For both questions I would really like to understand what is contained within the set of S. If I knew that, I probably would be able to determine its correct boolean value.

Let me know,

- Olivia