Math 301 Name:

Quiz 10

  1. Find MATH
    MATH

    MATH
  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 $gcd (a,b)=3.$
      MATH
    2. The product of any integer and any rational number is an integer.
      MATH
    3. If $Asubseteq B$and $Asubseteq C$then MATH
      MATH
  3. Use Boolean Algebra to show that the following is a tautology:
    MATH

    MATH
  4. Write the following sets by listing the elements between curly braces:
    1. MATH
      MATH
    2.  

       

    3. where MATH
      MATH
    4. The set of even prime numbers.
      MATH
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