An opening price is only used in variable priced placements. It is the price at which the placement opens. All applications must be at or higher than the opening price.
A price range is only used in variable priced IPOs. It is the range within which the company has indicated it will price its IPO. All applications must be within the price range.
A live price is the price of shares in a live offer at a particular point in time. If your application is lower than the live price, you risk not being allocated. If your application is higher than the live price, you will be allocated at the final price.