# Thread: Distributive Laws for sets

1. ## 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)

2. I think all you need to notice is that
$B \oplus C = \left( {B \cap C^c } \right) \cup \left( {B^c \cap C} \right)$

3. so, which one is right?

4. 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?

5. 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!