Answer
Neon will Sublime from about $10^{-3}$ atmospheres to just above .1 atmospheres.
Work Step by Step
To sublime means that the solid changes straight from solid to being a gas without becoming a liquid. Thus, we look at the point on the table where the gas area (shaded in yellow) is next to the solid area (shaded in green), for this is the pressure range for which Neon will go directly from solid to gas. From this, it follows that Neon will Sublime from about $10^{-3}$ atmospheres to just above .1 atmospheres.
