`"Let p : I am Brave"`,
`"q : I will climb the Mount Everest. "`
`"The symbolic from of a statement."`
`"I am neither brave nor I will climb the mount Everest' is "`

Options

A. p`^^`q
B. ~(p`^^`q)
C. ~p`^^`~q
D. ~p`^^`q

Answer

To convert the statement "I am neither brave nor I will climb the Mount Everest" into symbolic form using the given statements \( p \) and \( q \), we can follow these steps:

### Step 1: Identify the Statements
We have:
- \( p \): "I am Brave"
- \( q \): "I will climb the Mount Everest"

### Step 2: Negate the Statements
The phrase "I am neither brave nor I will climb the Mount Everest" indicates that both statements are negated. Thus, we need to express this as:
- Negation of \( p \): \( \neg p \) which means "I am not brave"
- Negation of \( q \): \( \neg q \) which means "I will not climb the Mount Everest"

### Step 3: Combine the Negations
The word "nor" in the statement indicates a logical conjunction. In logical terms, "neither...nor" can be expressed as:
\[ \neg p \land \neg q \]
This means "I am not brave and I will not climb the Mount Everest".

### Step 4: Write the Final Symbolic Form
The final symbolic form of the statement "I am neither brave nor I will climb the Mount Everest" is:
\[ \neg p \land \neg q \]

### Summary
Thus, the symbolic form of the statement is \( \neg p \land \neg q \).

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