1. | The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called | |||||

detachment reasoning | conjecturing | |||||

inductive reasoning | deductive reasoning | |||||

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2. | The ______ states that if is a true conditional and p is true, then q is true. |
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Law of Conditionals | Law of Deductive Reasoning | |||||

Law of Syllogism | Law of Detachment | |||||

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3. | Which statement follows from statements (1) and (2) by the Law of Detachment? (1) If a triangle is an obtuse triangle, then the measure of one of the angles is greater than 90 but less than 180. |
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no valid conclusion | ||||||

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4. | If it is raining, then Sue and Ian will not go to the football game is a true conditional, and it is raining. Use the Law of Detachment to reach a logical conclusion. |
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Sue and Ian will not go to the football game. | Ian will go to the football game if Sue goes. | |||||

The football game will not be played in the rain. | Sue and Ian will go to the football game. | |||||

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5. | The statements ''If Eric reads the book, he will be prepared for the exam'' and ''If Eric is prepared for the exam, he will get a passing grade'' are two conditionals. Use the Law of Syllogism to reach a logical conclusion. | |||||

If Eric prepares for the exam, then he will read the book. | If Eric gets a passing grade, then he did prepare for the exam. | |||||

no logical conclusion. | If Eric reads the book, then he will get a passing grade. | |||||

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