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Hwk. #14  &n= bsp;            = ;            &n= bsp;          =          = Name_______________________  &nb= sp;            =             &nb= sp;            =              =          =          = Math 10H             =   Mrs. Wecksell

Determine whether the conclusion is valid.

If it is valid, state the law of reasoning being appli= ed.

 

1)  ~ (s v ~t)        =          2)  ~(~a) = ® ~b             3)   a =  b    =  c=         4)  d ® ~(c v ~m)


    

        =         =                  =          &= nbsp;                =             &nb= sp;               =                  =   

    = \ ~s Ù t        =             &nb= sp; \ a  ® ~b        =             = \    c        =             = \ d = ® (~c =  m)

=  

=  

=  

=  

Write= a valid conclusion, if possible.  Writ= e the name of the law of logic that you applied.

 

5)   ~(p Ù ~q)     ________= __________    ______________________________

 

6)    r<= /span> v ~(~s)     ______= ____________    ______________________= ________

              &= nbsp;         

7)    m<= /span> =  ~p       ____= _____________     ____________________________= __

 

8)  Write a conclusion that follows fr= om the given statements, using the laws

     of logic you have learned.

 

a)  Cows cannot fly and turtles can dan= ce.

 

     _____________________________________________________________

 

b)      =           It’s not true that there is no school in September.

 

____________________________= ________________________________

 

 

9). Rewrite each statement as an equivalent statement beginning with All, Some or No.

 

   a) An integer is never irrat= ional. _______________________________________________

=  

=  

b)&n= bsp;   Every bird is not a sparrow.________________________________________________=

 

 

10)  Negate each statement.<= /span>

 

a)    No rectangles are triangles. _______________________________________________

 

b)    Some integers are non-negative. ___________________________________________

 

c)     Seven is an odd number and a prime number. _________________________________

        =         OVER

 

 

  d)  Sara will buy clothes or she will put her money in the bank.

 

       ___________________________________________________________________<= o:p>

 

  e)  It is a sunny day and the birds are singing.

 

     ____________________________________________________________________=

        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;          

 

11)  Algebra. 

 

a)  Reduce to lowest terms:=


              =             &nb= sp;            = =

 


        =            

 

 b)=   Multiply:  (4 – x= 2)(4 + x2)&= nbsp; ___________________________

 

        =             

 

 

 

c)   If  82x+10  =3D 1, then x =3D ______

 

 

 

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