Solution to Which of the following pairs of statements are logically equivalent? I. Statement 1: It is … - Sikademy
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Archangel Macsika

Which of the following pairs of statements are logically equivalent? I. Statement 1: It is not true that both you have pneumonia and I got flu. Statement 2: Either you have no pneumonia or I have no flu. II. Statement 1: It is not true that either I watched 'Crashlanding on You' or you watched 'Money Heist'. Statement 2: I did not watch 'Crashlanding on You' and you watched 'Money Heist'. a) II only b) I only c) I and II d) Neither I nor II

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I.

 Statement 1 is equivalent to: you have not pneumonia and I got flu, or you have pneumonia and I got not flu, or you have not pneumonia and I got not flu

Statement 2 is equivalent to: you have not pneumonia and I got flu, or you have pneumonia and I got not flu

So, Statement 1 is not equivalent to Statement 2


II.

 Statement 1 is equivalent to: I watched 'Crashlanding on You' and you did not watch 'Money Heist', or I did not watch 'Crashlanding on You' and you watched 'Money Heist'

So, Statement 1 is not equivalent to Statement 2


Answer: d) Neither I nor II


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