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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