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5 votes
5 votes

Consider the following atomic propositions:

  • $\text{R}$: It is Raining
  • $\text{S}$: Sonu is Sick

Which of the following is/are correct English Translation of the following logical expression:

$(\text{R} \vee \neg \text{S} )\wedge (\neg \text{R} \vee \text{S})?$

  1. It is raining if and only if sonu is not sick
  2. If sonu is sick then it is raining, and vice versa
  3. It is raining is equivalent to sonu is sick
  4. It is raining or sonu is sick but not both
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Good one. It's good to read the full sentence always instead of deducing by keywords.
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1 Answer

8 votes
8 votes

$(\text{R} \vee \neg \text{S} )\wedge (\neg \text{R} \vee \text{S})$ is equivalent to $\text{R} \leftrightarrow \text{S}$.

Hence, B; C is correct.

Detailed Video Solution: https://youtu.be/nclBhBmtz2g?t=23

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