**Instructions:** Except for questions that ask for a simple True or False, complete solutions with details are required with reasons for each of the operations you perform to obtain a solution. For example, if the problem asks for a *Proof*then we need to see all the steps of the argument as is given in your eResource textbook.

- (6 points) Give a reason for each step in the following argument to prove the statement for any propositions A, B, and C:

([A → (B ∨C)] ∧¬B ∧¬C) → ¬A - A → (B ∨C)
- ¬B
- ¬C
- ¬B ∧¬C
- ¬(B ∨C)
- ¬A

- (2 points) A logical argument is valid in the same way that an algebraic derivation is valid. Each step must be justified by some rule. Formalize this argument using the letters C,F, and S for the propositions, and show that it is valid.
**If chicken is on the menu, then don't order fish, but you should have either fish or salad. So if chicken is on the menu, have salad.** - Use our logical rules to show that for all propositions p,
**p → p ∧p.**

Subject | Mathematics |

Due By (Pacific Time) | 03/08/2015 11:59 pm |

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