Write the truth value of the following compound statements `:`
`5+5 =11` or `4+8 =12`

Answer

To determine the truth value of the compound statement "5 + 5 = 11 or 4 + 8 = 12", we can break it down into two individual statements and evaluate each one.

### Step-by-Step Solution:

1. **Identify the Statements**:
- Let \( p \) be the statement "5 + 5 = 11".
- Let \( q \) be the statement "4 + 8 = 12".

2. **Evaluate Statement \( p \)**:
- Calculate \( 5 + 5 \).
- \( 5 + 5 = 10 \).
- Compare \( 10 \) with \( 11 \).
- Since \( 10 \neq 11 \), the statement \( p \) is **false**.

3. **Evaluate Statement \( q \)**:
- Calculate \( 4 + 8 \).
- \( 4 + 8 = 12 \).
- Compare \( 12 \) with \( 12 \).
- Since \( 12 = 12 \), the statement \( q \) is **true**.

4. **Combine the Statements using OR**:
- The compound statement is \( p \text{ or } q \).
- We know that \( p \) is false and \( q \) is true.
- In logic, the OR operation is true if at least one of the statements is true.
- Since \( q \) is true, the compound statement \( p \text{ or } q \) is **true**.

### Conclusion:
The truth value of the compound statement "5 + 5 = 11 or 4 + 8 = 12" is **true**.

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