# Set Equalities

• March 10th 2011, 12:43 PM
jstarks44444
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!
• March 10th 2011, 01:00 PM
Plato
Quote:

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.
$A\setminus (B\cup C)=A\cap(B^c\cap C^c)$.

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