Final answer:
The number -9/10 belongs to the sets of Rational Numbers, Real Numbers, and Complex Numbers. It cannot be a Natural Number, Whole Number, or Integer, and it isn't an Irrational Number because it can be expressed as a fraction.
Step-by-step explanation:
To determine which group of sets the number −9/10 belongs to, first, we recognize that −9/10 is a negative fraction. It cannot be a natural number or a whole number, as those are only positive numbers and include zero for whole numbers. It is an integer because it can be expressed without a fractional or decimal component.
Since −9/10 can be written as a fraction with an integer numerator and a non-zero integer denominator, it is classified as a rational number. It cannot be an irrational number because irrational numbers cannot be expressed as a simple fraction. Lastly, all rational numbers are part of the real numbers set, and by definition, real numbers are also complex numbers (where the imaginary part is zero).
Therefore, the correct answer is d) Rational Numbers, Irrational Numbers, Real Numbers, Complex Numbers.