Math 301 Name:

Quiz 10

  1. Find MATH

    2.  

     

     


  2. For each of the following, determine if the statement is TRUE or FALSE. If FALSE, provide a counterexample. If TRUE, write TRUE.
    1. If MATHsuch that $ax+by=3,$then $gcd (a,b)=3.$

      2.  

       

       


    2. The product of any integer and any rational number is an integer.

      3.  

       

       


    3. If $Asubseteq B$and $Asubseteq C$then MATH

     

     

     


  3. Use Boolean Algebra to show that the following is a tautology:
    MATH

    4.  

     

     



  4. Write the following sets by listing the elements between curly braces:
    1. MATH

      2.  

       

       


       

       

    2. where MATH

      3.  

       

       


    3. The set of even prime numbers.