Suppose Jack says that if the temperature is below
he won’t play tennis. Determine which of the following
cases, if any, indicate that Jack did not tell the truth:
Suppose Jack says that if the temperature is below
he won’t play tennis. Determine which of the following
cases, if any, indicate that Jack did not tell the truth:
answer
a. The temperature was below and he didn’t play
tennis.
b. The temperature was below and he did play
tennis.
c. The temperature was above and he didn’t play
tennis.
d. The temperature was above and he did play
tennis.
He does not say that he WILL play tennis if the temperature is above some limit, which you do not provide.
Below what temp?
To determine if Jack did not tell the truth, we need to evaluate each case and check if it contradicts his statement.
Case 1: The temperature is above 80 degrees.
If the temperature is above 80 degrees, then it is not below what Jack specified. Therefore, this case indicates that Jack did not tell the truth.
Case 2: The temperature is 75 degrees.
If the temperature is 75 degrees, which is below 80 degrees, Jack's statement is true. Therefore, this case does not indicate that Jack did not tell the truth.
Case 3: The temperature is below 70 degrees.
If the temperature is below 70 degrees, then it is also below what Jack specified. Therefore, this case does not indicate that Jack did not tell the truth.
Based on this analysis, only Case 1 indicates that Jack did not tell the truth.