Truth Values: and, or, implies, if and only if

                     Lesson 1

 

                                                             Problem:   What is the truth value of the statement:

                                                                                 "43  -  20  =  23 and 17 is a prime number."   

 

                                                            Solution      43 - 20 = 23 ; True (T)

Step 1:           

                           

                                                            Solution      17 is a prime number; True (T)

                                                            Step 2:          (T and T = F)

                                                                                                       

                            

                                                            Solution    Since the first facts is True, the entire sentence is True.  

Step 3:  

  

                                                           Solution     Answer: false 

 

Step 4:

Complete    

 

                                                            Try two practice problems:  

 

 

1.         

What is the truth value of the statement:

"7 is odd and 4 is even."?

 

2.         

What is the truth value of

"64 is an even if and only if a Square contains 4 sides."?

 

 

 

 

 

 

 

 

 

 

 

 

 

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