The correct answers regarding the importance of personal boundaries are:
- Boundaries establish acceptable or unacceptable behavior from others and yourself.
- Boundaries ensure others respect your needs and values.
The option stating that boundaries keep people from being angry and defensive could be somewhat true indirectly, but it is not a primary reason for the importance of boundaries. The option that suggests boundaries guarantee popularity is not correct; boundaries are more about self-respect and personal well-being rather than gaining popularity.