Math 301                                                                                                Name:
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 $a|(b+c)$.






 

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



 

 



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



 

 

 

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



 

 




 

  1. Prove the following equivalence by using Boolean Algebra .