Final answer:
The word 'ragged' has a negative connotation as it often suggests a state of being worn out, torn, or tattered, hinting at poor condition and neglect.
Step-by-step explanation:
The word with a negative connotation among the options provided is ragged. When considering connotation, it is the emotional or cultural association with a word that goes beyond its literal meaning. In this case, 'ragged' often suggests something worn out, torn, or tattered, which generally has a negative implication.
On the other hand, words like 'gleamed' and 'relish' have positive connotations, suggesting brightness and enjoyment, respectively. 'Languish' and 'intrude' can have negative connotations as well, but 'ragged' is the most clearly negative among the options provided, as it evokes a sense of poor condition and neglect.