Q:

Which of the following statements is biconditional?I am sleeping if and only if I am snoring.Mary will eat pudding today if and only if it is custard.It is raining if and only if it is cloudy.None of the above.Why is the answer none of the above?

Accepted Solution

A:
Answer:The required answer is none of the above.Step-by-step explanation:Consider the provided statement.The combinationThe combination of conditional statements and their opposite is known as bi-conditional statements that can be written as if and only if.These statements are true if and only both the conditions are true.Statement 1: I am sleeping if and only if I am snoring.It is not compulsory whenever i am sleeping then I am snoring Thus, it may be true or may not be true.But If I am snoring then I am sleeping is true.The result is one sided true.Therefore, it is not bi-conditional true statement.Statement 2: Mary will eat pudding today if and only if is custard.It is not necessary that pudding is always made up of custard. The result is one sided true.Therefore, It is not bi-conditional true statement.Statement 3: It is raining if and only if it is cloudy.If it is raining then it is cloudy this statement is true. But if it is cloudy then it is raining. It may or may not be true.The result is one sided true.Therefore, It is not bi-conditional true statement.The required answer is none of the above.