question. uun table for the proposition. 20) -pa -q A) P]q[(•p^ ~q)_ Co 20) B) TT TF F T F F D) P|g[(-p^ ~q)_ T|T| F TF F F F T F F FF F T P|q|(~p^ ~q)_ TT TF F T FF F F T F T F F T T

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**SHORT ANSWER**: Write the word or phrase that best completes each statement or answers the question.

**Provide an appropriate response.**

19) Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a contradiction: \((q \lor p) \land \neg q\).

19) ________

**MULTIPLE CHOICE**: Choose the one alternative that best completes the statement or answers the question.

Construct a truth table for the proposition.

20) \(\neg p \land \neg q\)

- **A)**
  \[
  \begin{array}{c|c|c}
  p & q & \neg p \land \neg q \\
  \hline
  T & T & F \\
  T & F & F \\
  F & T & F \\
  F & F & F \\
  \end{array}
  \]

- **B)**
  \[
  \begin{array}{c|c|c}
  p & q & \neg p \land \neg q \\
  \hline
  T & T & F \\
  T & F & F \\
  F & T & F \\
  F & F & T \\
  \end{array}
  \]

- **C)**
  \[
  \begin{array}{c|c|c}
  p & q & \neg p \land \neg q \\
  \hline
  T & T & T \\
  T & F & F \\
  F & T & F \\
  F & F & F \\
  \end{array}
  \]

- **D)**
  \[
  \begin{array}{c|c|c}
  p & q & \neg p \land \neg q \\
  \hline
  T & T & F \\
  T & F & T \\
  F & T & T \\
  F & F & T \\
  \end{array}
  \]

20) ________

Construct a truth table to decide if the two statements are equivalent.

21) \(\neg p \land \neg q \equiv \neg (p \lor q)\)

- **A) True**
- **B) False**

21) ________

Tell whether the statement is true or
Transcribed Image Text:**SHORT ANSWER**: Write the word or phrase that best completes each statement or answers the question. **Provide an appropriate response.** 19) Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a contradiction: \((q \lor p) \land \neg q\). 19) ________ **MULTIPLE CHOICE**: Choose the one alternative that best completes the statement or answers the question. Construct a truth table for the proposition. 20) \(\neg p \land \neg q\) - **A)** \[ \begin{array}{c|c|c} p & q & \neg p \land \neg q \\ \hline T & T & F \\ T & F & F \\ F & T & F \\ F & F & F \\ \end{array} \] - **B)** \[ \begin{array}{c|c|c} p & q & \neg p \land \neg q \\ \hline T & T & F \\ T & F & F \\ F & T & F \\ F & F & T \\ \end{array} \] - **C)** \[ \begin{array}{c|c|c} p & q & \neg p \land \neg q \\ \hline T & T & T \\ T & F & F \\ F & T & F \\ F & F & F \\ \end{array} \] - **D)** \[ \begin{array}{c|c|c} p & q & \neg p \land \neg q \\ \hline T & T & F \\ T & F & T \\ F & T & T \\ F & F & T \\ \end{array} \] 20) ________ Construct a truth table to decide if the two statements are equivalent. 21) \(\neg p \land \neg q \equiv \neg (p \lor q)\) - **A) True** - **B) False** 21) ________ Tell whether the statement is true or
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