Improper use of nail nippers can lead to which of the following conditions?

The correct answer is agnails, which are also known as "hangnails" in some contexts, but they specifically refer to the bits of dead skin that appear at the base of the nail during the formation of a new nail. Improper use of nail nippers can lead to damage around the nail bed, which can cause the skin to become irritated or inflamed. This irritation contributes to the formation of agnails.

When nail nippers are used carelessly, they can inadvertently cut too deeply into the skin around the nail or remove too much tissue. This will not only lead to painful outcomes but can also create an environment that is conducive to infection and inflammation, causing the skin to peel or develop into agnails.

Other conditions, such as paronychia, could be a consequence of improper nail care, but they typically arise due to infection following broken skin rather than through the specific actions of nail nippers. Similarly, while cuticle tears can occur due to improper tool use, this does not specifically capture the unique situation leading to the formation of agnails. Therefore, agnails are the most direct result of improper nipper use in the context given.