Write the negation of each of the statement:
(i) Ravish is tall, therefore he is slim
(ii) If it is raining, then the game is cancelled.

Answer

To find the negation of the given statements, we will analyze each statement step by step.

### Statement (i): "Ravish is tall, therefore he is slim."

1. **Identify the components**:
- Let \( p \): "Ravish is tall."
- Let \( q \): "He is slim."
- The statement can be expressed as \( p \Rightarrow q \) (if \( p \) then \( q \)).

2. **Negation of the statement**:
- The negation of \( p \Rightarrow q \) is given by \( p \land \neg q \).
- This means that Ravish is tall and he is not slim.

3. **Write the negation in words**:
- The negation of the statement is: "Ravish is tall and he is not slim."

### Statement (ii): "If it is raining, then the game is cancelled."

1. **Identify the components**:
- Let \( p \): "It is raining."
- Let \( q \): "The game is cancelled."
- The statement can be expressed as \( p \Rightarrow q \) (if \( p \) then \( q \)).

2. **Negation of the statement**:
- The negation of \( p \Rightarrow q \) is given by \( p \land \neg q \).
- This means that it is raining and the game is not cancelled.

3. **Write the negation in words**:
- The negation of the statement is: "It is raining and the game is not cancelled."

### Final Results:
- (i) The negation is: "Ravish is tall and he is not slim."
- (ii) The negation is: "It is raining and the game is not cancelled."

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