Final answer:
The statement is false, as even unused needles should not be recapped to avoid the risk of needle-stick injuries and transmission of infections.
Step-by-step explanation:
The statement concerning whether a needle that has not been used can be recapped is false. It is a standard safety guideline in healthcare settings that needles should not be recapped after use to prevent needle-stick injuries, which can lead to the transmission of bloodborne pathogens. This applies even if the needle appears clean or has not been used. Instead, unused needles should be disposed of in a proper sharps container to minimize any risk of accidental injury or infection.