Math 381                                                                                                            Name: KEY
Quiz 2

1.  Determine if each statement is true or false. If it is false, state a counterexample. If it is true, explain your reasoning to conclude this (an example is not sufficient.).

    a.  If MATHthen MATH
      MATH
       
    b.  If $a\leq b$ and $c\in \QTR{Bbb}{R},$ then $ac\leq bc.$
        MATH
         
    c. $\forall $MATHMATH
        MATH
         
    d.  If $a\leq b,$ then $0\leq b-a$
      MATH
2.  Prove the following statement using the Order Properties and any Theorems we have previously proved in class.
              MATH
               
    MATH
     
     
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