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CLAST TEST # 3 :                   

 13. Select the statement that is the negation of the statement "Monica plays chess and Barbara plays tennis".  

   
      
A)

Monica does not play chess and Barbara plays tennis

B) Monica does not play chess and Barbara does not play tennis
C) Monica does not play chess or Barbara does not play tennis
D) Monica does not play chess or Barbara plays tennis

         

 Solution: 
                 This problem refer the following rule:
                  ~ (p ^ q ) ≡  ~ p v ~ q                  (where: ~: Negation(NOT),    ^: AND,     v: OR)              

           if  p = "Monica plays chess"                    q ="Barbara plays tennis"           then
           ~ p =
Monica does not play chess        ~ q ="Barbara does not play tennis

       
 ~ (p ^ q ) ≡  ~ p v ~ q
                        
Monica does not play chess OR Barbara does not play tennis   
 

 Answer: 
  C) Monica does not play chess or Barbara does not play tennis

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