In optics, an image is defined as the collection of focus points of light rays coming from an object.
A real image is the collection of focus points actually made by converging/diverging rays, while a virtual image is the collection of focus points made by extensions of diverging or converging rays.
A real image occurs at points where rays actually converge, whereas a virtual image occurs at points that rays appear to be diverging from.
Real images can be produced by concave mirrors and converging lenses, only if the object is placed further away from the mirror/lens than the focal point, and this real image is inverted.
A second lens or system of lenses, the eyepiece, then projects a second real image onto the retina of the eye.