# Proof: infinite set minus a fintie set is infinite

• Feb 24th 2009, 10:25 PM
jzellt
Proof: infinite set minus a fintie set is infinite
Suppose B is infinite and A is a finite subset of B. Then B - A is infinite.

I am supposed to prove this...

• Feb 24th 2009, 10:54 PM
sritter27
Quote:

Originally Posted by jzellt
Suppose B is infinite and A is a finite subset of B. Then B - A is infinite.

I am supposed to prove this...

$B - A = \{x \, | \; x \; {\epsilon} {B} \; and \; x \, {\not \epsilon} \; A\}$