(adsbygoogle = window.adsbygoogle || []).push({}); As a event A\B stands for "A occurs but B does not." Show that the operations of union, intersection and complement can all be expressed using only this operation.

[tex]A \backslash B = A \cap \bar{B}[/tex]

So far I have resorted to making a truth table with a bunch of A\B combinations that look at A\B, (A\B)\B, ((A\B)\B)\B), and so on. I don't see anything very interesting with this approach. What is a more logical way to look at this problem? If I could find a "nand" or "nor" combination, then I could make any operator. Do I just have to stumble on to it?

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Sets: A\B can represent A union B?

**Physics Forums | Science Articles, Homework Help, Discussion**