Real Numbers Flashcards
1
Q
Let S be a set. MaxS=?
A
The largest member of set S.
2
Q
Let S be a set. MinS=?
A
The smallest element of the set.
3
Q
Let S be a set. The least upper bound of S, (supS) is?
A
An upper bound of S having the property: if a,b are upper bounds of S, a<=b. Then a=supS.
4
Q
Let S be a set. The greatest lower bound of S, (infS) is?
A
A lower bound of S having this property: if a,b are lower bounds of S, a>=b. Then a=infS
5
Q
Every non empty set that is bounded from above has?
A
A least upper bound.
6
Q
Between any two distinct real numbers there is?
A
A rational number. Also there is an irrational number.
