Write the truth value of the following compound statements `:`
`5+5 =10` or `4+8 =12`

Answer

To determine the truth value of the compound statement "5 + 5 = 10 or 4 + 8 = 12", we will follow these steps:

### Step-by-Step Solution:

1. **Identify the individual statements:**
- Let \( P \) be the statement "5 + 5 = 10".
- Let \( Q \) be the statement "4 + 8 = 12".

2. **Evaluate the truth value of statement \( P \):**
- Calculate \( 5 + 5 \).
- \( 5 + 5 = 10 \) is a true statement.
- Therefore, the truth value of \( P \) is **True**.

3. **Evaluate the truth value of statement \( Q \):**
- Calculate \( 4 + 8 \).
- \( 4 + 8 = 12 \) is also a true statement.
- Therefore, the truth value of \( Q \) is **True**.

4. **Combine the truth values using the logical OR operator:**
- The logical OR operator states that if at least one of the statements is true, then the compound statement is true.
- Since both \( P \) and \( Q \) are true, we have:
- \( P \) is True
- \( Q \) is True
- Therefore, the truth value of the compound statement \( P \) OR \( Q \) is **True**.

5. **Conclusion:**
- The truth value of the compound statement "5 + 5 = 10 or 4 + 8 = 12" is **True**.