# Distributive Laws for sets

• October 12th 2009, 05:12 PM
minkyboodle
Distributive Laws for sets
One of the following distributive laws for sets is true. Which one is and what is the proof?

A $\cap$(B $\oplus$C)=(A $\cap$B) $\oplus$(A $\cap$C)

A $\cup$(B $\oplus$C)=(A $\cup$B) $\oplus$(A $\cup$C)
• October 12th 2009, 05:55 PM
Plato
I think all you need to notice is that
$B \oplus C = \left( {B \cap C^c } \right) \cup \left( {B^c \cap C} \right)$
• October 12th 2009, 06:01 PM
minkyboodle
so, which one is right?
• October 12th 2009, 06:22 PM
Plato
Quote:

Originally Posted by minkyboodle
so, which one is right?

That is for you to work out.
Why do you expect to be handed the answer?
Is this not a question given to you after all?
• October 12th 2009, 07:47 PM
HallsofIvy
This makes 6 homework problems you have posted without any sign of an attempt to do the problems yourself. You can't learn by having other people do your work for you!