The shaded part of the diagram includes all the integers that are not whole numbers.
The whole numbers are the count numbers (1,2,3,4...) and 0.
The integers are the whole numbers and the negative whole numbers, so the shaded part includes all the negative whole numbers.
In this case,
F) -1.7: is negative but is fractional, so it is not an integer.
G) -8: is negative and integer, so it belongs to the shaded area.
H) 2/3: is not an integer
J) 10: Is a whole number so it is within the whole numbers region.
The answer is G) -8.