Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. It is the case that x < 21 or x > 29, but x ≥ 21, so x > 29. Choose the correct translation below. O A. pvq -P- ..q Choose the correct answer below. O A. The argument is valid. OB. The argument is invalid. O B. pvq -9 ..p C O C. pvq g .. ~P O D. pvq P ..-q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Translate each argument into symbolic form. Then determine whether the argument is valid or invalid.

It is the case that \( x < 21 \) or \( x > 29 \), but \( x \geq 21 \), so \( x > 29 \).

----

Choose the correct translation below.

- A. \( p \vee q \)
  \[
  \begin{align*}
  & \sim p \\
  & \therefore q
  \end{align*}
  \]

- B. \( p \vee q \)
  \[
  \begin{align*}
  & \sim q \\
  & \therefore p
  \end{align*}
  \]

- C. \( p \vee q \)
  \[
  \begin{align*}
  & q \\
  & \therefore \sim p
  \end{align*}
  \]

- D. \( p \vee q \)
  \[
  \begin{align*}
  & p \\
  & \therefore \sim q
  \end{align*}
  \]

Choose the correct answer below.

- A. The argument is valid.
- B. The argument is invalid.
Transcribed Image Text:Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. It is the case that \( x < 21 \) or \( x > 29 \), but \( x \geq 21 \), so \( x > 29 \). ---- Choose the correct translation below. - A. \( p \vee q \) \[ \begin{align*} & \sim p \\ & \therefore q \end{align*} \] - B. \( p \vee q \) \[ \begin{align*} & \sim q \\ & \therefore p \end{align*} \] - C. \( p \vee q \) \[ \begin{align*} & q \\ & \therefore \sim p \end{align*} \] - D. \( p \vee q \) \[ \begin{align*} & p \\ & \therefore \sim q \end{align*} \] Choose the correct answer below. - A. The argument is valid. - B. The argument is invalid.
Expert Solution
Step 1

Given- The argument is as follows:

It is the case that x < 21 or x > 29, but x  21, so x > 29.

To find-

  • Translate the given argument in the symbolic form.
  • Determine whether the argument is valid or invalid.
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