Interactive Real Analysis
- part of Examples 1.1.2(a):
If E = { x: x = 2n for n 
N}, O = {x : x = 2n - 1 for n
N}, and I = {x
R:
x2 = -2}, then what, in your own words, do these sets
represent ?
back
N}, O = {x : x = 2n - 1 for n
N}, and I = {x
R:
x2 = -2}, then what, in your own words, do these sets
represent ?
back- The set E is the set of all even natural numbers.
- The set O is the set of all odd natural numbers.
- The set I consists of all real numbers whose square equals -2. Since there are no such real numbers, the set I is the empty set.