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swati shrivastav Grade: 12
        

Let p be the statement "x is an irrational number", q be the statement "y is a transcendental number", and r be the statement "x is a rational number if y is a transcendental number".


Statement-1 :
r is equivalent to either q or p.


Statement-2 :
r is equivalent to ~(p ↔ ~q).

8 years ago

Answers : (1)

ronit bhatiya
14 Points
										

p : x is an irrational number

q : y is a transcendental number

r : x is a rational number iff y is a transcendental number

=> r : ~ p ↔ q

s1 : q or p

s2 : ~ (p↔~q)


























































p q ~p ~q r:~p↔q s1:q or p p↔~q s2:~(p↔~q)

T T F F F T F T
T F F T T T T F
F T T F T T T F
F F T T F F F T



Based upon above chart

s1 and r are not equivalent

s2 and r are not equivalent

8 years ago
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