Prove or disprove the statement: There exists a set T such that for all sets S, (S ⋂ T = ∅) I need help proving or disproving this statement.
For the negation of the statement I got:
For every set T, there exists a set S, where (S ⋂ T ≠ ∅). Is this negation correct?
Can someone please help me prove or disprove this statement? I'm really confused.

You correctly negated the statement. However, it is relatively easier to prove the original statement. Just consider $T = \emptyset$.
