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Transcribed Image Text:## Constructing a Truth Table
This section explores how to construct a truth table for the logical statement \(\sim t \rightarrow (u \land s)\).
### Truth Table
Below is the partially completed truth table for the expression. Your task is to fill in the blanks with the missing values.
| s | t | u | \(\sim t\) | \(u \land s\) | \(\sim t \rightarrow (u \land s)\) |
|-----|-----|-----|-------------|---------------|-----------------------------------|
| T | T | T | F | T | T |
| T | T | F | F | F | T |
| T | F | T | T | T | |
| T | F | F | T | F | |
| F | T | T | F | F | T |
| F | T | F | F | F | T |
| F | F | T | T | F | |
| F | F | F | T | F | |
- \(s\), \(t\), and \(u\) are variables representing truth values. \(T\) stands for True, and \(F\) stands for False.
- \(\sim t\) represents the negation of \(t\).
- \(u \land s\) denotes the logical AND operation between \(u\) and \(s\).
- \(\sim t \rightarrow (u \land s)\) is a logical implication.
Your challenge is to determine the truth values for the missing entries in the table.
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