Method of making airline luggage inspection secure while accommodating the needs of the traveler comprises making a special lock available to airline travelers, the special lock having a combination lock portion and a master key lock, the master key lock portion receiving a master key that can open the master key lock portion of any special lock of this type. The special lock is designed to be applied to an individual piece of airline luggage and has indicia conveying to luggage purchasers that the special lock is “approved” by a luggage screening authority and conveying to the luggage screening authority that the special lock can be opened using the master key. The method includes providing the luggage screening authority directly or indirectly with exclusive access to the master key. The manufacturers and/or providers of the master key and special lock retain copies of the master key.