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Hwk. 16 = ;            &n= bsp;            = ;            = Name_________________________________

        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;    Math 10H        =             &nb= sp;            =   Mrs. Wecksell

 

1.  For the given statement, write the if-then form, the converse, the inverse, and the

     contrapositive.

 

     A number is rati= onal if it is an integer.

 

    ____________________________________________________________________= _

 

 C _____________________________________________________________________<= /o:p>

 

  I ______________________________________________________________________=

 

  CP ____________________________________________________________________

 

2.  Which statement has the same meani= ng as “You can go to the movie after you do your homewo= rk.”

 

(1)  If you do your homework, then you can go to the movie afterwards.

(2)  If you do not do your homework, then you can go to the movie afterwards.<= /o:p>

(3)  If you cannot go to the movie afterwards, then do your homework.

(4)  If you are going to the movie afterwards, then do not do your homework.

 

3.  Write the converse of the statement.  Tell whether the converse is true or false. 

     Explain.    &#= 8220; If x > 4, then x > 0.”

 

________________________   ____  __________________________________= _____

 

 

4.  Write two conditionals in if-then form to describe the relationship betwe= en the sets   

     shown.

    

        =              Musicians

        =             &nb= sp;            =             &nb= sp;          __________________________________________

        =             &nb= sp;  Band     &n= bsp;            = ;         =       

        =             &nb= sp;            =        

        =                  Jazz        =             &nb= sp;   __________________________________________

        =             &nb= sp;   Band     &n= bsp;           

 

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

 

 

 

 

 

 

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

 

 

 

 

Make a truth table to determine if the statement is a tautology, a contradiction= or neither.

 

5.          ~q  (q <= span style=3D'position:relative;top:2.0pt;mso-text-raise:-2.0pt'> ~p) =

 

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

 

6.          [p q) <= span style=3D'position:relative;top:2.0pt;mso-text-raise:-2.0pt'> ~q]   p

 

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

 

7.      ~ (p  v ~q) = ↔ (~p  q)

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

&nbs= p;

 

 

 

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