1. ## Set Equalities

Are the following true? If false, why?

A - (B union C) = (A - B) union (A - C)

A intersect (B - C) = (A intersect B) - (A intersect C)

Any help is appreciated!

2. Originally Posted by jstarks44444
Are the following true? If false, why?
A - (B union C) = (A - B) union (A - C)
Here is a hint on this one.
$\displaystyle A\setminus (B\cup C)=A\cap(B^c\cap C^c)$.

$\displaystyle \overline{A}=A^c$ means complement.