  We study separation of a closed box from a max-min convex set by max-min
semispace. This can be regarded as an interval extension of known separation
results. We give a constructive proof of the separation in the case when the
box and the max-min convex set satisfy certain condition, and we show that
separation is never possible if this condition does not hold. We also study
separation of max-min convex sets by boxes and by box and semispace.
