# Thread: is it always true

1. ## is it always true

$\displaystyle T\cup(U\cap W)=(T\cup U)\cap(T\cup W)$

2. Hello, szpengchao!

Is it always true? . $\displaystyle T\cup(U\cap W)\;=\;(T\cup U)\cap(T\cup W)$

Yes . . . it is one of the Distributive Laws.

3. He's right (the guy above).

Its a law so its always true.