Kenneth G. answered • 01/20/14

Experienced Tutor of Mathematics and Statistics

Assuming N is the domain of Natural numbers 0,1,...

Assuming Z is the domain of Integers ...-2,-1,0,1,2,...

a) 8/x is a natural number when x is positive and x=1,2,4,8. So the required range set is {8,4,2,1}.

b) 8 ≤ p

^{3}≤ 125 when p is positive and 2 ≤ p ≤ 5. The cube of a number is the same sign as the number.So if p is an integer the required set of values p can have is {2,3,4,5}, and the range is: {8,27,64,125). If p can be any real number, then the domain is the subset of [2,5] where the cube of the number is an integer, and the range is p

^{3}can be any integer in the range [8,125];