This math is new to me and I’m confused can you please help me

Question

asked Dec 5, 2023 8.3k views

1 Answer

Tuzzer · Answer 1 · 2023-12-11T14:24:09+0000

Given the set:

$S=\mleft\lbrace x|x\text{ is an odd, negative integer and }x>-14\mright\rbrace$

The set of odd, negative integers is:

$\mleft\lbrace-1,-3,-5,-7,-9,\ldots\mright\rbrace$

This set is infinite, but if we include an additional condition (x > -14), we obtain:

$S=\lbrace-1,-3,-5,-7,-9,-11,-13\rbrace$

The total numbers of subsets of a set with n elements are given by the equation:

$\#=2^n$

Which includes the empty set. We know that S has 7 elements, then:

$\#=2^7=128$