Conditionals Worksheet

                     Lesson 1

 

                                                             Problem:     Make a truth table for the statement: S ~X

                                                                   

S

X

 S

~X

~S X

T

T

 T

  F

   F

F

F

 F

  T

   F

                              

                                                            Solution       If the original is true, the ~ statement is false, and if the 

Step 1:            original is false, the ~ statement is true.                                                                                   

                           

                                                            Solution        In truth table original of ~P is true, than ~P is false.

Step 2:                                                                                                       

                            

                                                            Solution         The → symbol is used to symbolize a relationship called material   implication;

Step 3:            a compound statement formed with this connective is true unless the

Complete       component on the left (the antecedent)  is true and the component on the right

(the consequent) is false.                                                       

    

 

                                                            Try two practice problems:  

 

1

A ~B

2

S D

 

  

 

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