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Which of the following is a counterexample for this conditional statement?

"If an appliance is used for cooling, then it is a refrigerator."

A. An air conditioner
B. A clothes dryer
C. An electric mixer
D. A microwave

Answer :

Final answer:

An air conditioner serves as a valid counterexample to the statement "If an appliance is used for cooling, then it is a refrigerator" because it cools but is not classified as a refrigerator. Other options such as a clothes dryer, electric mixer, and microwave do not provide cooling. Therefore, the air conditioner disproves the statement effectively.


Explanation:

Counterexample for the Conditional Statement

The given conditional statement is: If an appliance is used for cooling, then it is a refrigerator. To find a counterexample, we need an appliance that cools but is not a refrigerator.

Among the options provided:

  • An air conditioner - This appliance is indeed used for cooling, but it is not a refrigerator. Therefore, it serves as a valid counterexample.
  • A clothes dryer - This appliance does not cool; it primarily dries clothes.
  • An electric mixer - This appliance is used for mixing and does not cool.
  • A microwave - This appliance heats food and does not cool.

Thus, the air conditioner is the only choice that meets the criteria of cooling without being categorized as a refrigerator.


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