CHAPTER 2
THE REAL NUMBERS
DR. RANA ALKHAL
Section 2.5
Intervals
Characterization of Intervals
Definition:
NOTES
1.
2.
3.
4.
The corresponding open interval is the empty set (a,a)=ф
The corresponding closed interval is the singleton set [a,a]={a}
.
The unit interval is the closed interval I= [0,1].
Nested Intervals
Definition:
Examples:
Outline of proof
PROOF
H.W.2.5:
2,7,9