If p is any statement, t is a tautology and c is a contradiction then which fo the following is not correct-

Question

If p is any statement, t is a tautology and c is a contradiction then which fo the following is not correct- (A) p ∧(∼ c) ≡ p (B) p ∨(∼ t) ≡ p (C) t ∨ c ≡ p ∨ t (D) (p ∧ t) ∨(p ∨ c) ≡(t ∧ c)

Tardigrade Admin · Accepted Answer

Correct answer is (d) (p ∧ t) ∨(p ∨ c) ≡(t ∧ c)

Q. If $p$ is any statement, $t$ is a tautology and $c$ is $a$ contradiction then which fo the following is not correct-

$p \land (\sim c) \equiv p$

$p \lor (\sim t) \equiv p$

$t \lor c \equiv p \lor t$

$(p \land t) \lor (p \lor c) \equiv (t \land c)$

Correct answer is (d) $(p \land t) \lor (p \lor c) \equiv (t \land c)$

Q. If p is any statement, t is a tautology and c is a contradiction then which fo the following is not correct-

p∧(∼c)≡p

p∨(∼t)≡p

t∨c≡p∨t

(p∧t)∨(p∨c)≡(t∧c)