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Which rule of inference is used in each of the following arguments? Check the correct answers.
1. It is either hotter than 100 degrees today or the pollution outside is dangerous. It is less than 100 degrees outside
today. Therefore, the pollution is dangerous.
OA. Addition.
O B. Modus ponens.
OC. Hypothetical syllogism.
O D. Modus tollens.
O E. Conjuction.
O F. Simplification.
O G. Disjunctive syllogism.
2. If I work all night on this homework, then I can answer all the exercises. If I answer all the exercises, I will understand
the material. Therefore, if I work all night on this homework, I will understand the material.
O A. Modus ponens.
O B. Hypothetical syllogism.
OC. Disjunctive syllogism.
O D. Simplification.
O E. Modus tollens.
O F. Conjuction.
O G. Addition.
A
3. If Pete had hit gold then Pete would be rich. Pete is not rich. Therefore, he did not hit gold.
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