If a Muslim is invited to a social event where inappropriate behavior is likely, they can respond in several thoughtful ways:

1. **Politely Decline:** If the event’s nature conflicts significantly with Islamic values, it may be best to decline the invitation politely. This can be done by explaining that the event does not align with personal beliefs or commitments, while expressing gratitude for the invitation.

2. **Suggest Alternatives:** Offer alternative ways to connect or engage with the host, such as meeting at a different time or in a different setting that aligns better with Islamic values.

3. **Attend Briefly:** If declining isn’t feasible or if the event involves important relationships, attending briefly while maintaining clear personal boundaries can be a practical approach. This allows participation while avoiding involvement in inappropriate activities.

4. **Maintain Boundaries:** While at the event, stay firm in avoiding any actions that conflict with Islamic teachings. Politely excuse yourself from activities or conversations that are inappropriate or uncomfortable.

5. **Communicate Openly:** If appropriate, communicate your values and boundaries beforehand, which can foster understanding and respect from others.

By handling the situation with respect and clarity, a Muslim can navigate social events while staying true to their principles.