Either the weather will turn bad or we will leave on time.

Chapter 1, Problem 6

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QUESTION:

Decide what conclusion, if any, can be reached from the given hypotheses and justify your answer.

Either the weather will turn bad or we will leave on time. If the weather turns bad, then the flight will be canceled.

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QUESTION:

Decide what conclusion, if any, can be reached from the given hypotheses and justify your answer.

Either the weather will turn bad or we will leave on time. If the weather turns bad, then the flight will be canceled.

ANSWER:

Step 1 of 2

The given statement can be written as simple statements as follows.

A: The weather will turn bad.

B:  We will leave on time.

C: The flight will be canceled.

So the given statement can be symbolically represented as follows:

        Either the weather will turn bad or we will leave on time:  \(A \vee B\) 

        If the weather turns bad, then the flight will be canceled:  \(A \rightarrow C\) 

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