Write the truth value of the following compound statements `:`
`5+5 =10` or `4+8 =13`

Answer

To determine the truth value of the compound statement "5 + 5 = 10 OR 4 + 8 = 13", we will analyze each part of the statement step by step.

### Step 1: Identify the individual statements
Let's denote:
- Statement P: "5 + 5 = 10"
- Statement Q: "4 + 8 = 13"

### Step 2: Evaluate Statement P
We need to check the truth value of Statement P:
- Calculate: \(5 + 5 = 10\)
- This statement is TRUE because the calculation is correct.

### Step 3: Evaluate Statement Q
Now, we check the truth value of Statement Q:
- Calculate: \(4 + 8 = 12\)
- Since \(12 \neq 13\), this statement is FALSE.

### Step 4: Combine the statements using the logical operator OR
The compound statement is formed by combining P and Q with the logical operator OR:
- P OR Q

### Step 5: Determine the truth value of the compound statement
In logic, the OR operator states that the compound statement is TRUE if at least one of the individual statements is TRUE.
- Here, P is TRUE and Q is FALSE.
- Since at least one statement (P) is TRUE, the overall truth value of the compound statement P OR Q is TRUE.

### Conclusion
The truth value of the compound statement "5 + 5 = 10 OR 4 + 8 = 13" is **TRUE**.

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