  We prove several results about the behavior Du Bois singularities and Du Bois
pairs in families. Some of these generalize existing statements about Du Bois
singularities to the pair setting while others are new even in the non-pair
setting. We also prove a new inversion of adjunction result for Du Bois and
rational pairs. In the non-pair setting this asserts that if a family over a
smooth base has a special fiber $X_0$ with Du Bois singularities and the
general fiber has rational singularities, then the total space has rational
singularities near $X_0$.
