Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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.
- `p \rightarrow ~q`
- `p \leftrightarrow ~q`
- `~p \wedge q`
- `~p \leftrightarrow q`
- `p \vee ~q`
- `~p \vee q`
- `q \rightarrow ~p`
- `p \wedge ~q`
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