# Question relating to SET Identity

• October 20th 2007, 11:26 AM
Kaleem Qureshi
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.
• October 23rd 2007, 10:08 PM
cu4mail
Hi
Did you get the answer of this question?
• October 24th 2007, 05:28 AM
Plato
$\begin{array}{l}
x \in A \vee x \in \left( {B \cap C} \right) \\
x \in A \vee \left[ {x \in B \wedge x \in C} \right] \\
\left( {x \in A \vee x \in B} \right) \wedge \left( {x \in A \vee x \in C} \right) \\
\end{array}$

Now you finish it off.