Write the negation of the following statement in terms of symbols :
I grow fat only if I eat too much.

Answer

To write the negation of the statement "I grow fat only if I eat too much" in terms of symbols, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Sub-statements**:
- Let \( P \) represent "I grow fat".
- Let \( Q \) represent "I eat too much".

2. **Understand the Phrase "Only If"**:
- The phrase "A only if B" can be translated into the implication \( B \implies A \).
- Therefore, the statement "I grow fat only if I eat too much" translates to \( Q \implies P \).

3. **Negate the Implication**:
- The negation of an implication \( Q \implies P \) can be expressed using the logical equivalence:
\[ \neg (Q \implies P) \equiv Q \land \neg P \]
- This means that the negation of "If I eat too much, then I grow fat" is "I eat too much and I do not grow fat".

4. **Write the Final Negation**:
- Therefore, the negation of the original statement in terms of symbols is:
\[ Q \land \neg P \]

### Final Answer:
The negation of the statement "I grow fat only if I eat too much" in terms of symbols is:
\[ Q \land \neg P \]