Inversion poses help release sub-conscious blockages that manifest as narrow-mindedness, e.g. prejudices, and preferences.

Once these are made conscious, the yogi can work towards opening their awareness, to make their actions conscious compassionate actions (e.g. thoughts, words, deeds).

This leads the yogi toward moksha, or freedom. 

Namaste.

Inversions must always be practiced safely, with safe regard to your state of health.

(a more advanced class, but still accessible to most yogis.)