Having a lower inflation rate is not the same as having lower overall prices?
The inflation rate is the rate of change in the price level. 

A lower - but positive - inflation rate (say from 3% to 2%) still results in higher prices -this is typically called disinflation, and highlights the fact that lower inflation doesn’t necessarily mean lower prices.

A negative inflation rate print (like -1%) implies the price level did actually decrease - typically referred to as deflation.