Inter = Between, Among

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Across
  1. 1. The break between parts of a play, opera, or concert
  2. 3. A person who helps translate the languages between different people
  3. 4. To break into a conversation between people
  4. 6. To get in between two people when it’s not your problem or issue
  5. 7. Between people (usually describing social activities)
  6. 8. Between or among the nations of the world
Down
  1. 1. To throw a remark into a conversation between two or more people
  2. 2. Worldwide computer system allowing communication and information sharing among people
  3. 3. Between the states
  4. 5. Involving people playing among themselves; an exchange or activity or information between people