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Which of the following is an example of a disjunction? 

 

Option: 1

If it rains, I will stay home.


Option: 2

It is raining and I am staying home.


Option: 3

It is raining or I am staying home.


Option: 4

I am staying home only if it is raining.


Answers (1)

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Option (3) is correct as a disjunction is a compound proposition that connects two or more propositions using the logical operator "or". In this case, the two propositions being connected are "It is raining" and "I am staying home". The resulting compound proposition is true if at least one of the propositions is true, which is the case when it is either raining or the speaker is staying home. 

Option (1) is incorrect as it is an example of a conditional statement, not a disjunction. 

A conditional statement is a proposition of the form "If A, then B", where A is the antecedent and B is the consequent. 

Option (2) is incorrect as it is an example of a conjunction, which is a compound proposition that connects two or more propositions using the logical operator "and". 

Option (4) is incorrect as it is an example of a conditional statement, but the order of the antecedent and consequent are reversed.

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Pankaj

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