Originally Posted by

**tbyou87** Prove that if B subset A subset Real #'s and A is bounded, then B is bounded.

Proof attempt:

Assume B subset A subset Real #'s and A is bounded.

Then a <= u for all a element A and l <= a for all a element A, where u is upper bound and l is lower bound.

Since B subset A, every x element B => x element A.

Then a <= u for all a element B and l <= a for all a element B.

Therefore, B is bounded.

I was wondering if this was correct, and if it is not how I can fix it if possible.

Thanks