Question

Use the law of syllogism to complete the conclusion. statement 1: if p, then q. statement 2: if q, then r. conclusion: if p, then...

Answer 1

p→r

Law of syllogism

The law of syllogism, also known as transitivity reasoning, is a legitimate kind of deductive reasoning that adheres to a predetermined pattern. The transitive property of equality states that if a = b and b = c, then a = c. so we can conclude that The law of syllogism is almost  similar to the transitive property.

now if we want to define general case then we can say tha

a→b

and

b→c  => a→c

now according to statements given in the problem

p→q and q→r ⇒ p→r

which completes the syllogism.

hence ,  p→r is the required answer.

learn more about syllogism here:

brainly.com/question/5142648

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