Let p,q,r and s represent simple statements. Assume that p is false, q is true, r is false, and s is true. Determine the truth value of each statement expressed below :
`p vv s`

Answer

To determine the truth value of the statement \( p \lor s \) (where \( \lor \) represents the logical OR), we will follow these steps:

### Step 1: Identify the truth values of the statements
We are given the following truth values:
- \( p \) is false (F)
- \( q \) is true (T)
- \( r \) is false (F)
- \( s \) is true (T)

### Step 2: Write down the logical expression
The expression we need to evaluate is:
\[ p \lor s \]

### Step 3: Substitute the truth values into the expression
Now, we substitute the truth values of \( p \) and \( s \) into the expression:
\[ F \lor T \]

### Step 4: Evaluate the logical OR
The logical OR operation (\( \lor \)) is defined as follows:
- \( F \lor F = F \)
- \( F \lor T = T \)
- \( T \lor F = T \)
- \( T \lor T = T \)

In our case, since \( p \) is false and \( s \) is true:
\[ F \lor T = T \]

### Conclusion
Thus, the truth value of the statement \( p \lor s \) is **True (T)**.

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