Which of the following is a logical conclusion to the conditional statements below?If it is the month of January, then it is winter.If it is winter, then the temperature is cool.A.If it is winter, then it is January.B.If the temperature is cool, then it is January.C.If the temperature is cool, then it is winter.D.If it is the month of January, then the temperature is cool.
Question
Which of the following is a logical conclusion to the conditional statements below?If it is the month of January, then it is winter.If it is winter, then the temperature is cool.A.If it is winter, then it is January.B.If the temperature is cool, then it is January.C.If the temperature is cool, then it is winter.D.If it is the month of January, then the temperature is cool.
Solution
The logical conclusion to the conditional statements given is D. "If it is the month of January, then the temperature is cool."
Here's why:
The first statement says "If it is the month of January, then it is winter." The second statement says "If it is winter, then the temperature is cool."
If we combine these two statements, we can logically conclude that "If it is the month of January, then the temperature is cool." This is because January implies winter, and winter implies cool temperature. Therefore, January implies cool temperature.
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