Determine whether p,q and "If p, then q " are true or false in each case given below :
3 >2

Answer

To determine whether the statements \( p \), \( q \), and "If \( p \), then \( q \)" are true or false given the statement \( 3 > 2 \), we can follow these steps:

### Step 1: Identify the Statements
Let:
- \( p \): "3 > 2"
- \( q \): (We need to define \( q \) for this implication. Let's assume \( q \) is another statement that we will evaluate.)

### Step 2: Evaluate \( p \)
Now, we evaluate \( p \):
- The statement \( 3 > 2 \) is **True**.

### Step 3: Define \( q \)
Since the problem does not specify \( q \), we can assume a hypothetical statement for \( q \). For example, let’s say:
- \( q \): "2 is less than 4"

### Step 4: Evaluate \( q \)
Now, we evaluate \( q \):
- The statement \( 2 < 4 \) is also **True**.

### Step 5: Evaluate "If \( p \), then \( q \)"
Now, we evaluate the implication \( p \implies q \):
- Since both \( p \) and \( q \) are **True**, the implication \( p \implies q \) is also **True**.

### Summary of Truth Values
- \( p \): True
- \( q \): True
- \( p \implies q \): True

### Final Answer
Thus, in this case:
- \( p \) is True.
- \( q \) is True.
- "If \( p \), then \( q \)" is True.