## Logical Arguments Analysis### Question: Which of the following groups of statements represents a valid argument?#### Group 1:- If you make me an omelet, I will eat it.- If I eat an omelet, I will drink coffee.- If you make me an omelet, I will drink coffee.#### Group 2:- If I listen to music then I fall asleep.- I did not listen to music in geometry.- I fell asleep in geometry.#### Group 3:- If you play baseball, you can catch a ball.- Max can catch basketballs.- Max can’t play baseball.#### Group 4:- If you give a mouse a cookie, she will be your friend.- I gave Jill a cookie.- Jill is not my friendly mouse.---### Explanation of the Statements#### Group 1:This group of statements follows a logical sequence using conditional reasoning:1. If you make me an omelet, I will eat it. (A → B)2. If I eat an omelet, I will drink coffee. (B → C)3. Therefore, if you make me an omelet, I will drink coffee. (A → C) This represents a valid argument because it follows the law of syllogism in logic (transitivity).#### Group 2:This group of statements attempts to draw a logical conclusion based on the negation of an antecedent condition:1. If I listen to music then I fall asleep. (A → B)2. I did not listen to music in geometry. (~A)3. I fell asleep in geometry. (B) This argument is invalid because it does not follow logically that falling asleep in geometry is related to listening to music based on the given premises.#### Group 3:This group involves statements about the ability to catch balls in relation to playing baseball:1. If you play baseball, you can catch a ball. (A → B)2. Max can catch basketballs. (C)3. Max can’t play baseball. (~A) This argument is invalid due to the contextual difference between catching basketballs and the inability to conclude anything about Max’s ability to play baseball from those premises.#### Group 4:This group involves a conditional friendship based on giving a cookie:1. If you give a mouse a cookie, she will be your friend. (A → B)2. I

OTION D is correct they mare making a valid argument

) *If you make me an omelet, I will eat it. *If I eat an omelet, I will drink coffee. *If you make me an omelet I will drink coffee. *If I listen to music then I fall asleep. *I did not listen to music in geometry. *I fell asleep in geometry. *If you play baseball, you can catch a ball. *Max can catch basketballs. *Max can't play baseball. *If give a mouse a cookie, she will be your friend. *I gave Jill a cookie. *Jill is not my friendly mouse.

) If you make me an omelet, I will eat it. If I eat an omelet, I will drink coffee. If you make me an omelet I will drink coffee. If I listen to music then I fall asleep. I did not listen to music in geometry. I fell asleep in geometry. If you play baseball, you can catch a ball. Max can catch basketballs. Max can't play baseball. If give a mouse a cookie, she will be your friend. I gave Jill a cookie. Jill is not my friendly mouse.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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