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The negation of A(A~B) is

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By Expert Faculty of Sri Chaitanya
a
a tautologa
b
equivalent to (A∨~B)→A
c
equivalent to A→(A∧~B)
d
a fallacy

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detailed solution

Correct option is D

A→(A∨~B)≡~A∨(A∨~B)≡(~A∨A)∨(~B)≡T∨(~B)≡T∴ Negative of A→A∨~B is ~T=F.


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