Question:

Let p: p: I am brave, q: 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:

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In symbolic logic, the phrase "neither...nor" translates to ¬p¬q \neg p \land \neg q . Always apply negation rules carefully for accurate representation.
Updated On: Jan 22, 2025
  • pq p \land q
  • (pq) \sim (p \land q)
  • pq \sim p \land \sim q
  • pq \sim p \land q
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The Correct Option is C

Solution and Explanation

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