# Homework Help: Set Theory Symbols

1. Jun 28, 2011

### BloodyFrozen

1. The problem statement, all variables and given/known data

Is A C ⊆ B equal (A C) ⊆ B or A (C ⊆ B)?

2. Relevant equations

N/A

3. The attempt at a solution

I think it's the first one due to it being in order, but I'm not sure...

2. Jun 28, 2011

### Staff: Mentor

Took me a while to get what you are asking. It's the first.

3. Jun 28, 2011

### BloodyFrozen

Ok, thanks

4. Jun 29, 2011

### HallsofIvy

The first,
$$(A\cap B)\subset C$$
is the statement that the set, $A\cap B$ is a subset of C.

The second,
$$A\cap (B\subset C)$$
doen't make sense. The left side, A, is a set while the right side is NOT. The right side, $B\subset C$, is a statement that B is a subset of C. You can't take the intersection of a set with a statement!