Given the set:
[tex]S=\mleft\lbrace x|x\text{ is an odd, negative integer and }x>-14\mright\rbrace[/tex]
The set of odd, negative integers is:
[tex]\mleft\lbrace-1,-3,-5,-7,-9,\ldots\mright\rbrace[/tex]
This set is infinite, but if we include an additional condition (x > -14), we obtain:
[tex]S=\lbrace-1,-3,-5,-7,-9,-11,-13\rbrace[/tex]
The total numbers of subsets of a set with n elements are given by the equation:
[tex]\#=2^n[/tex]
Which includes the empty set. We know that S has 7 elements, then:
[tex]\#=2^7=128[/tex]
