# Let A and B be subsets of some universal set U. Prove or disprove each of...

• Nov 8th 2011, 11:53 AM
Brjakewa
Let A and B be subsets of some universal set U. Prove or disprove each of...
the following:

1) (A complement U B) (entire thing complemented) (intersect A) = A-B

2) (A U B) - A = B - A
• Nov 8th 2011, 12:52 PM
Plato
Re: Let A and B be subsets of some universal set U. Prove or disprove each of...
Quote:

Originally Posted by Brjakewa
the following:
1) (A complement U B) (entire thing complemented) (intersect A) = A-B

$\begin{gathered} \overline {\left( {\overline A \cup B} \right)} \cap A \hfill \\ \left( {A \cap \overline B } \right) \cap A \hfill \\ \left( {A \cap \overline B } \right) \hfill \\ A\backslash B \hfill \\ \end{gathered}$