MTH001 Assignment 1 Spring 2021 – Assignments – Solution VU

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MTH001 Assignment 1 Spring 2021 – Assignments – Solution VU

MTH001: Elementary Mathematics

                                                          Assignment # 01

 

Answer 1:

                    Solution:        

 

                          A = 2,4     B = 1,4,5

    

                           R1 = a > b

                           R2 = (a, b) ∈ (A X B)

 

               A X B = (2,1), (2,4), (2,5), (4,1), (4,4) (4,5)

 

               R1= (2,1), (4,1), (4,4)

              

               R2= (4,4)

 

      Domain of R1= (2,4)

     

      Domain of R2= (4)

                                 

     Range = (1,4) Answer.

 

 

 

Answer 2:

                    Solution:

 

                              ~(p⟶~q) ⟶~p≡~ (q ∧ p)

 

     P

q

 

~p

~q

p⟶~q

~(p⟶~q)

~(p⟶~q) ~p

T

T

F

F

F

T

F

T

F

F

T

T

F

T

F

T

T

F

F

T

T

F

F

T

T

T

F

T

 

                                    This Statement is not a “Tautology”

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