kennywright1606 kennywright1606

16-06-2024
Mathematics

Answered

Complete the truth table for the contrapositive of a conditional statement.

Type T for true and F for false in each box.

| [tex]\( p \)[/tex] | [tex]\( q \)[/tex] | [tex]\( p \rightarrow q \)[/tex] | [tex]\( \sim q \rightarrow \sim p \)[/tex] |
|:------:|:------:|:----------------------:|:-----------------------------:|
| T | T | T | |
| T | F | F | |
| F | T | T | |
| F | F | T | |

Answer :

GinnyAnswer GinnyAnswer

16-06-2024

Certainly! Here are the completed truth values for the truth table, considering the contrapositive of the conditional statement [tex]\( p \rightarrow q \)[/tex].

[tex]\[ \begin{tabular}{|c|c|c|c|} \hline p & q & p \rightarrow q & \sim q \rightarrow \sim p \\ \hline T & T & T & T \\ \hline T & F & F & F \\ \hline F & T & T & T \\ \hline F & F & T & T \\ \hline \end{tabular} \][/tex]

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