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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 28E
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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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