is empty, are empty, is not empty and are not empty are used to identify cases that have or do not have specified attributes with values in a particular range. For example, the case:

egg            2            2            3
milk           12           15           18
soy            2            2            2
wheat          600          750          800

satisfies the conditions:

{egg, milk, soy, wheat} in range [1000, 10000] is empty

{egg, milk, soy, wheat} in range [10, 100] is not empty

at least 2 {egg, milk} in range [100, 1000] are empty

at least 2 {soy, wheat} in range [100, 1000] are not empty