Test the validity of the following arguments: 10) Either the governor and the lieutenant-governor will both run for reelection or the primary race will be wide open and the party will be torn by dissension. The governor will not run for reelection. Therefore, the party will be torn by dissension.

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Chapter2: Second-order Linear Odes
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From Exercise 3 of the notes on Predicate Logic, answer numbers 1, 2 and 3. In each item, make sure to:

1. symbolize the argument

2. check for validity/invalidity using the Euler Diagram.

Test the validity of the following arguments:

10) Either the governor and the lieutenant-governor will both run for reelection or the primary race will be wide open and the party will be torn by dissension. The governor will not run for reelection. Therefore, the party will be torn by dissension.

11) If the Dodgers win the pennant, then they will win the Series. Therefore, if the Dodgers win the pennant, then if they continue to hit, then they will win the Series. (PSH)

12) Either Argentina does not join the alliance or Brazil boycotts it, but if Argentina joins the alliance, then Chile boycotts it. If Brazil boycotts the alliance, then if Chile boycotts it, then Ecuador will boycott it. Therefore, if Argentina joins the alliance then Ecuador will boycott it. (ABCE)

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