Explain in a few sentences how to determine the statement for which a truth table will be
Question:
Explain in a few sentences how to determine the statement for which a truth table will be constructed so that the arguments that follow in Exercises 29?38 can be analyzed for validity.
Exercise 29
Determine whether the argument is?valid?or?invalid.
Joey loves to watch movies. If Terry likes to jog, then Joey does not love to watch movies. If Terry does not like to jog, then Carrie drives a school bus. Therefore, Carrie drives a school bus.
Exercise 30
Determine whether the argument is?valid?or?invalid.
If Hurricane Gustave hit that grove of trees, then the trees are devastated. People plant trees when disasters strike and the trees are not devastated. Therefore, if people plant trees when disasters strike, then Hurricane Gustave did not hit that grove of trees.
Exercise 31
Determine whether the argument is?valid?or?invalid.
If Yoda is my favorite?Star Wars?character, then I hate Darth Vader. I hate Luke Skywalker or Darth Vader. I don?t hate Luke Skywalker. Therefore, Yoda is not my favorite character.
Exercise 32
Determine whether the argument is?valid?or?invalid.
Carrie Underwood sings or Joe Jonas is not a teen idol. If Joe Jonas is not a teen idol, then Jennifer Hudson does not win a Grammy. Jennifer Hudson wins a Grammy. Therefore, Carrie Underwood does not sing.
Exercise 33
Determine whether the argument is?valid?or?invalid.
The Cowboys will make the playoffs if and only if Troy comes back to play. Jerry doesn?t coach the Cowboys or Troy comes back to play. Jerry does coach the Cowboys. Therefore, the Cowboys will not be in the playoffs.
Exercise 34
Determine whether the argument is?valid?or?invalid.
If I?ve got you under my skin, then you are deep in the heart of me. If you are deep in the heart of me, then you are not really a part of me. You are deep in the heart of me or you are really a part of me. Therefore, if I?ve got you under my skin, then you are really a part of me.
Exercise 35
Determine whether the argument is?valid?or?invalid.
If Dr. Hardy is a department chairman, then he lives in Atlanta. He lives in Atlanta and his first name is Larry. Therefore, if his first name is not Larry, then he is not a department chairman.
Exercise 36
Determine whether the argument is?valid?or?invalid.
If I were your woman and you were my man, then I?d never stop loving you. I?ve stopped loving you. Therefore, I am not your woman or you are not my man.
Exercise 37
Determine whether the argument is?valid?or?invalid.
All men are created equal. All people who are created equal are women. Therefore, all men are women.
Exercise 38
Determine whether the argument is?valid?or?invalid.
All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels