# Math Help - Question relating to SET Identity

1. ## Question relating to SET Identity

Hello,
I have this question for your help :

Using the set identities prove that the distributivity of union over intersection
i.e. AU(B intersection C) = (A U B) intersection (A U C)

thanks.

2. ## Hi

Did you get the answer of this question?

3. $\begin{array}{l}
x \in A \vee x \in \left( {B \cap C} \right) \\
x \in A \vee \left[ {x \in B \wedge x \in C} \right] \\
\left( {x \in A \vee x \in B} \right) \wedge \left( {x \in A \vee x \in C} \right) \\
\end{array}$

Now you finish it off.