Math 301                                                                                                Name: KEY
Quiz 2
 
  1. Determine if each statement is true or false. If it is true, explain how you determined this, if it is false, provide a counterexample. 

    1. If $a,b$ and $c$ are integers with $a|b$ then $a|(b+c)$.

      2. MATH


       
    2. If $a$ is prime then $a^{2}$ is composite.

      3. MATH


    3. If $a$ and $b$ are real numbers, then MATH.

      4. MATH

  2. Prove that the statement MATH is a contradiction by using a truth table.


    3. MATH


     
  3. Prove the following equivalence by using Boolean Algebra .

    4. MATH

    MATH

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