Math 381                                                                                                              Name:    KEY  

Quiz 3

1. For each set below, state the supremum, if it exists, and state the infimum, if it exists.$\bigskip $ 

a. MATH


MATH

 

b. MATH


MATH

 

c.  MATH


MATH

 

 

2. Suppose that $a,b\in $$\QTR{Bbb}{R}$and $S$is a nonempty set of real numbers such that $a<\sup S<b.$Circle all of the statements below that must be true.$\bigskip $


MATH

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