Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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