What does "boasted" mean here? What words can be instead of it? Thank you!
Often a valley 【boasted 】no inn at all, and climbers found shelter wherever they could -- sometimes with the local priest....

Question

What does "boasted" mean here? What words can be instead of it? Thank you! 
Often a valley 【boasted 】no inn at all, and climbers found shelter wherever they could -- sometimes with the local priest....

Answer

"To boast" here means "to possess as a thing to be proud of".

The valley had no inn at all, but it would have been a source of pride if it had.
The verb can usually be replaced by "have" or "possess".

Evden çıkmadan dil öğrenme fırsatını kaçırmayın. Deneyimli dil eğitmenlerimizden oluşan seçkimize göz atın ve ilk dersinize şimdi kaydolun!