The answer is Yes, for the purposes of most Math students. There are, number systems that have been devised which are outside the set of Complex Numbers, though.
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All real numbers. Or all complex numbers, if you are working with complex numbers.
Yes. Every integer is a rational number. Every rational number is a real number. Every real number is a complex number. The complex numbers include all real numbers and all real numbers multiplied by the imaginary number i=sqrt(-1) and all the sums of these.
That is how an identity is defined. If the solution was not true for all numbers, then it would not be called an identity. In fact, it should be true for all complex numbers as well.
8, and minus 8. If you want to include complex numbers, all numbers on a circle with radius 8.
Yes, it cannot contain any imaginary numbers