MTH001 Assignment 1 Spring 2024 – 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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