Question:medium

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:

Show Hint

In symbolic logic, the phrase "neither...nor" translates to \( \neg p \land \neg q \). Always apply negation rules carefully for accurate representation.
Updated On: Nov 26, 2025
  • \( p \land q \)
  • \( \sim (p \land q) \)
  • \( \sim p \land \sim q \)
  • \( \sim p \land q \)
Hide Solution

The Correct Option is C

Solution and Explanation

The statement "I am neither brave nor will I climb Mount Everest" can be expressed as: \[ \text{"Not brave and will not climb Mount Everest."} \] Let \( p \) represent "I am brave" and \( q \) represent "I will climb Mount Everest". Consequently: \[ \text{Not brave} \implies eg p, \quad \text{and} \quad \text{Will not climb Mount Everest} \implies eg q. \] Combining these with the logical operator "and" (\( \land \)): \[ eg p \land eg q. \] Therefore, the symbolic form of the statement is: \[ \boxed{eg p \land eg q}. \]
Was this answer helpful?
0