Question

gimp is an open source photo editing application that gives you a variety of ways to manipulate photos. categorize each operation as either \lossless\ or \lossy\: operation lossless or lossy? crop: trims the sides of the image. grayscale: converts the photo to black & white (256 shades of grey). invert: inverts all the pixel colors and brightness values (i.e. black pixels become white pixels).

Explanation:

Crop:

Cropping removes parts of the image, losing original pixel data irreversibly. So it's lossy.

Converting to grayscale reduces color information (from RGB to grayscale values), losing original color data. Thus, it's lossy.

Inverting pixel colors/brightness is a reversible operation (inverting again restores original). No data loss, so it's lossless.

Answer:

lossy

Grayscale: