Question

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

• A. $\sim P\vee Q$
• B. $\sim P\vee \sim Q$
• C. $\sim P\wedge \sim Q$
• D. $P\vee \sim Q$
• E. $\sim \left(P\vee \sim Q\right)$

Answer 1

Answer: (E)

$P$ : He is intelligent. $O:$ He is strong.
Then, it is not true that he is either intelligent or strong $=\sim (P\vee Q)$