Choice A rationale:

Administering antibiotics intravenously is important in treating the infection, but it doesn't directly address maintaining a patent airway.

The priority in epiglottitis is to ensure an open airway to prevent respiratory distress.

Choice B rationale:

Providing humidified air or cool mist therapy helps moisten the airway, making it easier for the child to breathe.

This intervention can provide immediate relief and aid in maintaining a patent airway, which is crucial in epiglottitis.

Choice C rationale:

Administering corticosteroids intravenously can help reduce inflammation, but it might not be the primary intervention to maintain a patent airway.

Humidified air therapy directly addresses airway moisture, which is essential in epiglottitis management.

Choice D rationale:

Administering analgesics and antipyretics can address pain and fever associated with epiglottitis but does not directly contribute to maintaining a patent airway.

While these medications can improve the child's comfort, they are not the priority in this situation.