A tamper-evident package includes a flexible lid sealed to a flange of a container. A localized region of the flange defines a break tab that can be broken to detach a small portion, such as a corner, of the flange from the rest of the flange, in order to begin peeling back the lid to open the package. The lid is affixed to the detachable portion of the flange in a manner effectively preventing the lid from being detached from it. At least that part of the lid overlying the break tab can be sufficiently transparent that the broken or unbroken condition of the break tab can be seen through the lid from an upper side thereof. The break tab thereby serves to indicate whether the lid has been at least partially peeled back.