If P -> Q and Q -> R, and P is true, what is true about R?

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Multiple Choice

If P -> Q and Q -> R, and P is true, what is true about R?

Two implications can create a chain of truth. If P implies Q and Q implies R, and you know P is true, then Q must be true because P true makes the first implication fire. With Q true and Q implies R, R must also be true. So the truth of P carries through the chain to guarantee R. This is the transitive behavior of implications, and that’s why R is true in this scenario.

Two implications can create a chain of truth. If P implies Q and Q implies R, and you know P is true, then Q must be true because P true makes the first implication fire. With Q true and Q implies R, R must also be true. So the truth of P carries through the chain to guarantee R. This is the transitive behavior of implications, and that’s why R is true in this scenario.

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