Consider the two statements. $P :$ He is intelligent and $Q :$ He is strong. Then, the symbolic form of the statement "It is not true that he is either intelligent or strong" is

\sim P \lor Q

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\sim P \lor \sim Q

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\sim P \land Q

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P \lor \sim Q

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\sim (P \lor Q)

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Solution

The correct option is C $\sim (P \lor Q)$
$P :$ He is intelligent, $Q :$ He is strong.

Then, it is not true that he is either intelligent or strong $=\sim (P \lor Q)$

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Similar questions

Consider the two statements P: He is intelligent and Q: He is strong. Then the symbolic form of the statement "It is not true that he is intelligent or strong" is

Q. For the statements

p

and

q,

consider the following compound statements :
(a)

(\sim q \land (p \to q)) \to\sim p

(b)

((p \lor q) \land \sim p) \to q

Then which of the following ststements is correct ?

Q. Consider the two statements:

(S 1) : (p \to q) \lor (\sim q \to p)

is a tautology.

(S 2) : (p \land \sim q) \land (\sim p \lor q)

is a fallacy.
Then

p

: He is hard working.

q

: He is intelligent.
Then

\sim q \Rightarrow\sim p

, represents

For any two statements p and q, the statement $\sim (p \lor q) \lor (\sim p \land q)$ is equivalent to

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Consider the two statements. P: He is intelligent and Q: He is strong. Then, the symbolic form of the statement "It is not true that he is either intelligent or strong" is

The correct option is C ∼(P∨Q)P: He is intelligent, Q: He is strong.Then, it is not true that he is either intelligent or strong =∼(P∨Q)

Consider the two statements. $P :$ He is intelligent and $Q :$ He is strong. Then, the symbolic form of the statement "It is not true that he is either intelligent or strong" is

The correct option is C $\sim (P \lor Q)$
$P :$ He is intelligent, $Q :$ He is strong.

Then, it is not true that he is either intelligent or strong $=\sim (P \lor Q)$