7400120171

Submitted by michaela.bailova on Fri, 11/29/2024 - 23:28

Question:

Let

A

B

, and

C

represent statements, and let

p (A)

p (B)

, and

p (C)

be their truth values. Find all compound statements that are true (i.e., have a truth value of

1

) for the given truth values of

A

B

, and

C

Project ID:

7400120171

SubArea:

Answer 1:

\begin{matrix} p (A) = 1, p (B) = 1, \\ A \lor \neg B \end{matrix}

Answer 1 Correct:

Answer 2:

\begin{matrix} p (A) = 1, p (B) = 0, \\ A \land \neg B \end{matrix}

Answer 2 Correct:

Answer 3:

\begin{matrix} p (A) = 1, p (B) = 1, p (C) = 0, \\ A \Rightarrow (B \land \neg C) \end{matrix}

Answer 3 Correct:

Answer 4:

\begin{matrix} p (A) = 1, p (B) = 1, p (C) = 1, \\ \neg (A \lor C) \Rightarrow B \end{matrix}

Answer 4 Correct:

Answer 5:

\begin{matrix} p (A) = 1, p (B) = 1, p (C) = 1, \\ (\neg A \land B) \Rightarrow C \end{matrix}

Answer 5 Correct:

Answer 6:

\begin{matrix} p (A) = 0, p (B) = 0, \\ \neg A \Leftrightarrow B \end{matrix}

Answer 6 Correct:

Answer 7:

\begin{matrix} p (A) = 1, p (B) = 1, p (C) = 0, \\ (A \land B) \lor \neg C \end{matrix}

Answer 7 Correct:

Answer 8:

$\begin{matrix} p (A) = 0, p (B) = 0, \\ \neg A \Rightarrow B \end{matrix}$

Answer 8 Correct:

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