Iceland: primary language is Icelandic — English is spoken virtually everywhere.
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The primary language in Iceland is Icelandic.
English is spoken virtually everywhere. Near-universal English proficiency — you can get by comfortably almost anywhere on the island.
Learning "hello," "please," "thank you," "excuse me," and "the check please" in the local language goes a long way anywhere, including Iceland — locals consistently appreciate the effort.
It's rarely necessary given how widely English is understood in Iceland, but it doesn't hurt to have one as a backup.