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statement 1-- ~(A B) is equivalent to A B statement 2-- A v (~(A ^ ~B)) a tautology (1) statement 1 is true,statement 2 is true, statement 2 is not a correct explanation for statement 1 (2) statement 1 is true,statement 2 is true, statement 2 is a correct explanation for statement 1

statement 1-- ~(A <==> B) is equivalent to  A<==>B


statement 2-- A v (~(A ^ ~B))  a tautology



(1) statement 1 is true,statement 2  is true, statement 2 is not a correct explanation for statement 1


(2) statement 1 is true,statement 2  is true, statement 2 is a correct explanation for statement 1


Grade:12

2 Answers

PRIYANKA TATA ASKIITIAN
78 Points
10 years ago

the truth tables for the given statements are given below..

A   B    ~B   (A ^ ~B)     (~(A ^ ~B))     A v (~(A ^ ~B))

T   T     F        F                 T                       T

T   F     T        T                 F                       T    

F   T     F        F                  T                      T

F   F     T       F                  T                       T

HENCE IT IS A TAUTOLOGY...

COMING TO STATEMENT I , A STATEMENT CAN NEVER BE EQUIVALENT TO ITS NEGATION...SO THAT STATEMENT IS FALSE..

SO THE CORRECT ANSWER HAS TO BE THAT STATEMENT 1 IS WRONG AND STATEMENT 2 IS CORRECT...!

plz approve...!!

priyanaka tata

PRIYANKA TATA ASKIITIAN
78 Points
10 years ago

 

the truth tables for the given statements are given below..

A   B    ~B   (A ^ ~B)     (~(A ^ ~B))     A v (~(A ^ ~B))

T   T     F        F                 T                       T

T   F     T        T                 F                       T    

F   T     F        F                  T                      T

F   F     T       F                  T                       T

HENCE IT IS A TAUTOLOGY...

COMING TO STATEMENT I , A STATEMENT CAN NEVER BE EQUIVALENT TO ITS NEGATION...SO THAT STATEMENT IS FALSE..

SO THE CORRECT ANSWER HAS TO BE THAT STATEMENT 1 IS WRONG AND STATEMENT 2 IS CORRECT...!

plz approve...!!

priyanaka tata

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