# Family Sets

• March 22nd 2010, 09:47 AM
onemore
Family Sets
Let A be the family of closed intervals that contains 0 and are contained in (-1,1). Thus I is in A if and only if I = [a,b], where -1<a<0<b<1. Determine the following sets and justify you answers:

(a) $\bigcup_{I \epsilon A} I$

(b) $\bigcap_{I \epsilon A} I$
• March 22nd 2010, 11:52 AM
Plato
Quote:

Originally Posted by onemore
Let A be the family of closed intervals that contains 0 and are contained in (-1,1). Thus I is in A if and only if I = [a,b], where -1<a<0<b<1. Determine the following sets and justify you answers:
(a) $\bigcup_{I \epsilon A} I$
(b) $\bigcap_{I \epsilon A} I$

Are you going to show any effort on this?