Question

Let $p:$ I am brave, $q:$ I will climb the Mount Everest. The symbolic form of a statement, 'I am neither brave nor I will climb the Mount Everest' is:

• A. $p \land q$
• B. $\sim (p \land q)$
• C. $\sim p \land \sim q$
• D. $\sim p \land q$

Hint:

In symbolic logic, the phrase "neither...nor" translates to $\neg p \land \neg q$. Always apply negation rules carefully for accurate representation.

Answer 1

The Correct Option is C

The statement "I am neither brave nor will I climb Mount Everest" can be reworded as: $$\text{"Not brave and will not climb Mount Everest."}$$
Let $p:$ I am brave and $q:$ I will climb Mount Everest. Therefore: $$\text{Not brave} \implies \neg p, \quad \text{and} \quad \text{Will not climb Mount Everest} \implies \neg q.$$
Combining these using "and" ($\land$): $$\neg p \land \neg q.$$
Hence, the symbolic representation of the statement is: $$\boxed{\neg p \land \neg q}.$$