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0 votes
4.3k views
in Mathematics by (42.2k points)
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Negation of the Boolean expression p ⇔ (q ⇒ p) is

(A) (~ p) ∧ q

(B) p ∧ (~ q)

(C) (~ p) ∨ (~ q)

(D) (~ p) ∧ (~ q)

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best answer

By truth table, we can conclude that 

\(\sim(p ⇔ (q ⇒ p)) \equiv (\sim p) \wedge(2q)\)

+2 votes
by (48.5k points)

Correct option is (D) (~ p) ∧ (~ q)

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