Apply the law of syllogism to write a new statement based on the following: A → B: If it rains, then football practice will be canceled. B → C: If football practice is canceled, then Patrick will go to the cinema. Question 4 options: A) A ↔ C: If will rain if and only if Patrick goes to the cinema. B) C → A: If Patrick goes to the cinema, then it will rain. C) A → C: If it rains, then Patrick will go to the cinema. D) ∼A → ∼B: If it doesn't rain, then football practice won't be canceled.

Question

Mathematics

Shayna

8 June, 07:05

Apply the law of syllogism to write a new statement based on the following: A → B: If it rains, then football practice will be canceled. B → C: If football practice is canceled, then Patrick will go to the cinema. Question 4 options: A) A ↔ C: If will rain if and only if Patrick goes to the cinema. B) C → A: If Patrick goes to the cinema, then it will rain. C) A → C: If it rains, then Patrick will go to the cinema. D) ∼A → ∼B: If it doesn't rain, then football practice won't be canceled.

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Answers (1)

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Francesca Roth · Answer 1

C) A → C: If it rains, then Patrick will go to the cinema

Step-by-step explanation:

Syllogism refers to logical reasoning which can be derived from two or more premises. The syllogism is used in to draw inferences and judgement from the premises. These syllogisms are based on deductive reasoning and are used in everyday life.

In the given question, the statements have been provided A to B and B to C, therefore, the inference that could be concluded from the premises is if it rains, then Patrick will go to cinema because if it rains, then football match would be cancelled.

Thus, Option-C is the correct answer.