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For the simple statements p: There is a fire in the fireplace. q: The house is cold. Match each compound statement to its symbolic form.    If the house is cold then there is no fire in the fireplace.  There is a fire in the fireplace or the house is not cold.  There is a fire in the fireplace and the house is not cold.  There is a fire in the fireplace if and only if the house is not cold.  There is no fire in the fireplace if and only if the house is cold.  There is no fire in the fireplace or the house is cold.  There is no fire in the fireplace and the house is cold.  If there is a fire in the fireplace then the house is not cold.

For the simple statements p: There is a fire in the fireplace. q: The house is cold. Match each compound statement to its symbolic form.    If the house is cold then there is no fire in the fireplace.  There is a fire in the fireplace or the house is not cold.  There is a fire in the fireplace and the house is not cold.  There is a fire in the fireplace if and only if the house is not cold.  There is no fire in the fireplace if and only if the house is cold.  There is no fire in the fireplace or the house is cold.  There is no fire in the fireplace and the house is cold.  If there is a fire in the fireplace then the house is not cold.

Advanced Engineering Mathematics
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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For the simple statements

p: There is a fire in the fireplace.
q: The house is cold.

Match each compound statement to its symbolic form.

 

  •  If the house is cold then there is no fire in the fireplace.
  •  There is a fire in the fireplace or the house is not cold.
  •  There is a fire in the fireplace and the house is not cold.
  •  There is a fire in the fireplace if and only if the house is not cold.
  •  There is no fire in the fireplace if and only if the house is cold.
  •  There is no fire in the fireplace or the house is cold.
  •  There is no fire in the fireplace and the house is cold.
  •  If there is a fire in the fireplace then the house is not cold.
  1. `p \rightarrow ~q`
  2. `p \leftrightarrow ~q`
  3. `~p \wedge q`
  4. `~p \leftrightarrow q`
  5. `p \vee ~q`
  6. `~p \vee q`
  7. `q \rightarrow ~p`
  8. `p \wedge ~q`
 
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