Final answer:
A client playing solitaire displays an Intraindividual interaction pattern, engaging in a self-focused activity without the involvement of others.
Step-by-step explanation:
When a client is playing solitaire, the type of interaction pattern they are displaying is Intraindividual. Intraindividual interaction is an engagement or activity where the individual is the only participant, focusing on their own actions and strategies. In the case of solitaire, which is a single-player card game, a person plays against themselves, trying to organize the cards in a particular order or layout following specific rules of the game.
This type of activity is solely self-engaging and does not involve interaction with others, hence the term Intraindividual. It is a great example of an activity that requires self-reflection and personal challenge.