Rewrite each of the following statements in the form 'p if and only if q'.
Determine the truth value of each of the following statements `:`
`3+3 = 6` iff `2+2 =4`

Answer

To rewrite the statement "3 + 3 = 6 iff 2 + 2 = 4" in the form "p if and only if q", we can follow these steps:

### Step 1: Identify the statements
Let:
- \( p \): "3 + 3 = 6"
- \( q \): "2 + 2 = 4"

### Step 2: Rewrite in the form "p if and only if q"
The statement can be rewritten as:
\[ p \iff q \]
This means:
\[ 3 + 3 = 6 \text{ if and only if } 2 + 2 = 4 \]

### Step 3: Determine the truth values
Now, we need to determine the truth value of each statement:
- For \( p \): "3 + 3 = 6" is **True**.
- For \( q \): "2 + 2 = 4" is **True**.

### Step 4: Evaluate the biconditional statement
The biconditional statement \( p \iff q \) is true if both \( p \) and \( q \) are true or both are false. Since both \( p \) and \( q \) are true, we have:
\[ p \iff q \text{ is True} \]

### Final Conclusion
Thus, the truth value of the statement "3 + 3 = 6 iff 2 + 2 = 4" is **True**.

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