Question: 2. [12pts] Construct a truth table for the given compound proposition. Use one column in truth table for exactly one operation. Remember about order of

2. [12pts] Construct a truth table for the given compound proposition. Use one column in truth table for exactly one operation. Remember about order of precedence!! q-pop/ q- q V-q p T T T F F T F FWhich rule of inference is used in each argument below? a) Alice is a Math major. Therefore, Alice is either a Math major or a CSI major. b) Jerry is a Math major and a CSI major. Therefore, Jerry is a Math major. c) If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed. d) Ifit snows today, the university will close. The university is not closed today. Therefore, it did not snow today. ) IfI go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. Therefore, if I go swimming, then I will sunburn. f) I go swimming or eat an ice cream. I did not go swimming. Therefore, I eat an

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