Final answer:
Increasing the resolution of an image does not make the file size smaller, it actually makes it larger. Compression, on the other hand, can reduce the file size but may affect image quality.
Step-by-step explanation:
The statement, 'When the resolution of an image is increased and pixels are added, the file size gets smaller,' is false.
Increasing the resolution of an image means increasing the number of pixels used to make the image. This results in more detailed and higher-quality images, but also increases the file size. When more pixels are added, more information needs to be stored in the file, leading to a larger file size.
On the other hand, compression reduces the file size by removing redundant or unnecessary information from the image. However, this may also result in a loss of image quality.