# Math Help - Proof: infinite set minus a fintie set is infinite

1. ## 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...

2. 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...

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