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Consider the following conditional statement and scenario. Is the conditional statement true or false.

Conditional Statement: If it is raining, then the streets are wet.

Scenario: It is not raining, but the streets are wet because they were hit by a sprinkler.

User Wgodoy
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The conditional statement is: "If it is raining, then the streets are wet."

Scenario: "It is not raining, but the streets are wet because they were hit by a sprinkler."

In this scenario, we have the following information:

It is not raining (negation of the condition in the conditional statement).

The streets are wet (consequence).

Since the streets are wet due to being hit by a sprinkler and not because of rain, we find a situation where the condition ("It is raining") is false, but the consequence ("the streets are wet") is true.

In this case, the conditional statement is true, even though the condition is false, as long as the consequence is true. The truth value of a conditional statement depends only on whether the consequence is true or false, not on the truth value of the condition.

User FranMowinckel
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