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Question 1190252: Topics In Contemporary Math
Arguments
Use truth tables to determine if each of the following arguments are valid or invalid.
1) Ted will get a Big Mac or a Whopper with cheese.
Ted did not get a Whopper with cheese.
Therefore, Ted got a Big Mac.

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Question 1190253: Topics In Contemporary Math
Arguments
Use truth tables to determine if each of the following arguments are valid or invalid.
2) If you are superstitious, then do not walk under a ladder.
If you do not walk under a ladder, then you are superstitious.
Therefore, you are superstitious and you do not walk under a ladder.

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Question 1190366: MAT 145: Topics In Contemporary Math

QUESTION 1
Write the negation of the statement.
All dogs have fur.

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Question 1190366: MAT 145: Topics In Contemporary Math

QUESTION 1
Write the negation of the statement.
All dogs have fur.

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Question 1190361: MAT 145: Topics In Contemporary Math
Modus Ponens and Modus Tollens
Translate each of the following into symbols, then determine whether or not the argument is valid by providing the appropriate name for the argument form.
6) If it is sunny, then I wear SPF 50 sun block.
It is not sunny.
Therefore, I will not wear SPF 50 sun block.

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Question 1190360: MAT 145: Topics In Contemporary Math
Modus Ponens and Modus Tollens
Translate each of the following into symbols, then determine whether or not the argument is valid by providing the appropriate name for the argument form.
5) If I get an A in this class, then I will do a dance.
I did a dance.
Therefore, I got an A in this class.

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Question 1190359: MAT 145: Topics In Contemporary Math
Modus Ponens and Modus Tollens
Translate each of the following into symbols, then determine whether or not the argument is valid by providing the appropriate name for the argument form.
4.If you eat seven pieces of pizza, then you will get sick. If you get sick, then you will not be able to go to the game. Therefore, if you eat seven pieces of pizza, then you will not be able to go to the game.

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Question 1190468: MAT 145: Topics In Contemporary Math
QUESTION 12
Identify which logical fallacy the argument uses.
Global climate change cannot be the consequence of humans burning fossil fuels. If we switch to renewable, non-polluting energy sources, the American economy would collapse.

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Question 1190467: MAT 145: Topics In Contemporary Math
QUESTION 13
Identify which logical fallacy the argument uses.
The price of gas has increased since the president took office. The price increased due to them becoming president!

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Question 1190467: MAT 145: Topics In Contemporary Math
QUESTION 13
Identify which logical fallacy the argument uses.
The price of gas has increased since the president took office. The price increased due to them becoming president!

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Question 1190466: MAT 145: Topics In Contemporary Math
QUESTION 14
Identify which logical fallacy the argument uses.
Crusty the Clown drives a Canyanero. I should drive one too!

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Question 1190511: Topics In Contemporary Math
QUESTION 14
Identify which logical fallacy the argument uses.
Crusty the Clown drives a Canyanero. I should drive one too!

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Question 1190510: Topics In Contemporary Math
QUESTION 12
Identify which logical fallacy the argument uses.
Global climate change cannot be the consequence of humans burning fossil fuels. If we switch to renewable, non-polluting energy sources, the American economy would collapse.

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Question 1190510: Topics In Contemporary Math
QUESTION 12
Identify which logical fallacy the argument uses.
Global climate change cannot be the consequence of humans burning fossil fuels. If we switch to renewable, non-polluting energy sources, the American economy would collapse.

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Question 1190509: Topics In Contemporary Math
QUESTION 10
Identify which logical fallacy the argument uses.
The witchcraft problem is the most urgent spiritual crisis in the world today. Why? Because witches threaten our very souls.

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Question 1190509: Topics In Contemporary Math
QUESTION 10
Identify which logical fallacy the argument uses.
The witchcraft problem is the most urgent spiritual crisis in the world today. Why? Because witches threaten our very souls.

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Question 1190508: Topics In Contemporary Math
QUESTION 3
If p is the statement "Rock Lee is a ninja" and q is the statement "Rock Lee uses jutsu”, translate the following into sentences with appropriate grammar.
p space logical or space tilde q
p V ~ q

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Question 1190503: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
8) The army lost the battle because they could not achieve a superior tactical position.


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Question 1190503: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
8) The army lost the battle because they could not achieve a superior tactical position.


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Question 1190500: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
4) My doctor says to only use premium gas in the car, so I’ll only use premium gas in my car.

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Question 1190500: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
4) My doctor says to only use premium gas in the car, so I’ll only use premium gas in my car.

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Question 1190501: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
5) Alex was scratched by a cat while visiting their friend and came down with a fever two
days later. The cat’s scratch must have caused the fever.

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Question 1190501: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
5) Alex was scratched by a cat while visiting their friend and came down with a fever two
days later. The cat’s scratch must have caused the fever.

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Question 1190505: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.

10) If you work out three hours per day, you will lose weight and improve how your body feels. So everybody should work out three hours per day!

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Question 1190505: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.

10) If you work out three hours per day, you will lose weight and improve how your body feels. So everybody should work out three hours per day!

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Question 1190506: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.

7) Drink Vichy water, Paris Hilton does

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Question 1190512: Topics In Contemporary Math
Argument Forms
8) The army lost the battle because they could not achieve a superior tactical position.

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Question 1190512: Topics In Contemporary Math
Argument Forms
8) The army lost the battle because they could not achieve a superior tactical position.

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Question 1190502: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
6) People from Quebec want to secede from Canada to get their own currency. Don’t they
realize money isn’t everything?

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Question 1190502: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
6) People from Quebec want to secede from Canada to get their own currency. Don’t they
realize money isn’t everything?

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Question 1190498: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
3) There was a full moon the night I had my car accident, so I’m never driving again under a
full moon.

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Question 1190498: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
3) There was a full moon the night I had my car accident, so I’m never driving again under a
full moon.

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Question 1190504: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
9) Either we lower taxes or the economy will never recover.


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Question 1190504: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
9) Either we lower taxes or the economy will never recover.


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Question 1190497: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
2) That politician came from a rich family, so their opinion on welfare reform is invalid.

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Question 1190497: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
2) That politician came from a rich family, so their opinion on welfare reform is invalid.

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Question 1190496: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
1) I’ve never seen an alien, so they must not exist.

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Question 1190496: MAT 145: Topics In Contemporary Math
Argument Forms
Identify the logical fallacy used in the following arguments.
1) I’ve never seen an alien, so they must not exist.

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Question 1190671: MAT 145: Topics In Contemporary Math
Sets and Set Operations
Given the definitions for the sets, find the elements in the subsets in roster notation.
Universal set U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50}
A = {5, 15, 25, 35, 45}
B = {10, 15, 25, 35}
𝐴 ∪ 𝐵 𝐴 ∩ 𝐵 𝐴^c
𝐵^c (𝐴 ∪ 𝐵)^c

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Question 1190671: MAT 145: Topics In Contemporary Math
Sets and Set Operations
Given the definitions for the sets, find the elements in the subsets in roster notation.
Universal set U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50}
A = {5, 15, 25, 35, 45}
B = {10, 15, 25, 35}
𝐴 ∪ 𝐵 𝐴 ∩ 𝐵 𝐴^c
𝐵^c (𝐴 ∪ 𝐵)^c

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Question 1190730: MAT 145: Topics In Contemporary Math
Sets and Set Operations
Given the definitions for the sets, find the elements in the subsets in roster notation.
Universal set U is the set of all letters in the English alphabet, A is set of all full-time
vowels (no y!), B is the set of the first 10 letters

A B 𝐴 ∩ B
𝐴 ∪ B A^c B^c
(𝐴 ∪ 𝐵)^c (𝐴 ∩ 𝐵)^c (𝐴 ∪ 𝐵) ∩ (𝐴 ∩ 𝐵)^c
𝐴 ∩ 𝐵^c 𝐴^c ∩ B 𝐴 ∩ A^c

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Question 1190779: MAT 145: Topics In Contemporary Math
Trees
5) A New York State license plate is formed with three letters then four digits. Assuming
any combination of letters and numbers is legitimate, how many different license plates
are possible?

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Question 1190778: MAT 145: Topics In Contemporary Math
Trees
4) A football team has three different styles of helmet, seven different styles of jersey, and
four different styles of pants. How many different uniforms can that team wear on game
day?

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Question 1190777: MAT 145: Topics In Contemporary Math
Trees
3) The restaurant from #2 has a higher-tier menu for $18.99. The diner still gets an
appetizer, main course, and desert, but there are more options for each, as shown below:
Appetizer
Shrimp Cocktail
Chicken Livers
French Onion Soup
Nachos
Main Course
16-oz sirloin
Small Prime Rib
Lasagna
Turkey Dinner
Shrimp Scampi
Fried Scallops
Dessert
Cheesecake
Pie a `la mode
Seasonal Fruit Parfait
How many different $18.99 specials are possible?

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Question 1190776: MAT 145: Topics In Contemporary Math
Trees
2) A restaurant offers a special of an appetizer, main course, and desert for $12.99.
Create a tree diagram to find all the specials available if the diner must choose between
soup and salad for the appetizer, fried chicken, hot turkey sandwich, or meat loaf for the
main course, and chocolate cake or apple cobbler for the desert.

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