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Choose the Best Argument

By uxenglish2 / May 18, 2023

Reasoning Logical Operators Choose the Best Argument

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Question 1 of 9

1. Question
Finish the following argument to make it valid:

I like the taste of fast food, but I don’t like how I feel afterwards. If I eat fast food, I feel either sleepy or sick. I had a burger and fries from McDonalds today. Now, …
- I feel sick.
- I feel sleepy and sick.
- I will take a nap.
- I am not sleepy.
Correct

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Question 2 of 9

2. Question
I like the taste of fast food, but I don’t like how I feel afterwards. If I eat fast food, I feel either sleepy or sick. I had a burger and fries from McDonalds today. Now, I feel sick.

Choose the argument that best represents the story above:
- If I feel sleepy or sick, I have eaten fast food.
  I feel sick.
  Thus, I have eaten fast food.
- If I eat fast food, I like the taste.
  I ate fast food.
  Thus, I feel sick.
- If I like the taste of fast food, I eat it.
  I like the taste of fast food.
  Therefore, I feel sick.
- If I eat fast food, I feel sleepy or sick.
  I ate fast food.
  Thus, I feel sick.
Correct

Incorrect
Question 3 of 9

3. Question
Form the following argument into symbols and logical connectors:

If I eat fast food, I feel sleepy or sick.
I ate fast food.
Thus, I feel sick.

P = I eat fast food.
Q = I feel sleepy.
R = I feel sick.
- P ∧ Q → R
  P
  ∴ R
- P ∨ Q → R
  P
  ∴ R
- P → Q ∧ R
  P
  ∴ R
- P → Q ∨ R
  P
  ∴ R
Correct

Incorrect
Question 4 of 9

4. Question
Finish the following argument to make it valid:

Evelyn is obsessed with her teeth. She read studies that say if you use an electric toothbrush and brush your teeth for at least two minutes, you can have healthy teeth. For the past two years, Evelyn has used an electric toothbrush three times a day and timed her brushing for two minutes. Now, …
- Evelyn is no longer obsessed with her teeth.
- Evelyn may have healthy teeth.
- Evelyn’s electricity bill will be higher.
- Evelyn can stop using her electric toothbrush.
Correct

Incorrect
Question 5 of 9

5. Question
Evelyn is obsessed with her teeth. She read studies that show if you use an electric toothbrush and brush your teeth for at least two minutes, you can have healthy teeth. For the past two years, Evelyn has used an electric toothbrush three times a day and timed her brushing for two minutes. Now, Evelyn may have healthy teeth.

Choose the argument that best represents the story above:
- If you are obsessed with your teeth, you will use an electric toothbrush and brush for at least two minutes.
  Evelyn is obsessed with her teeth.
  Therefore, Evelyn may have healthy teeth.
- If you have healthy teeth, you have used an electric toothbrush and brushed your teeth for at least two minutes.
  Evelyn has healthy teeth.
  Therefore, Evelyn used an electric toothbrush and brushed her teeth for at least two minutes.
- If you use an electric toothbrush and brush your teeth for at least two minutes, you can have healthy teeth.
  Evelyn used an electric toothbrush and brushed her teeth for at least two minutes.
  Therefore, Evelyn may have healthy teeth.
- If you are obsessed with your teeth and read dental studies, you will have healthy teeth.
  Evelyn is obsessed with her teeth and has read dental studies.
  Therefore, Evelyn may have healthy teeth.
Correct

Incorrect
Question 6 of 9

6. Question
Form the following argument into symbols and logical connectors.

If you use an electric toothbrush and brush your teeth for at least two minutes, you can have healthy teeth.
Evelyn used an electric toothbrush and brushed her teeth for at least two minutes.
Therefore, Evelyn may have healthy teeth.

P = You use an electric toothbrush.
Q = You brush your teeth for at least two minutes.
R = You may have healthy teeth.
- P ∧ Q → R
  P ∧ Q
  ∴ R
- P ∨ Q → R
  P ∨ Q
  ∴ R
- P → Q ∧ R
  Q ∧ R
  ∴ P
- P → Q ∨ R
  Q ∨ R
  ∴ P
Correct

Incorrect
Question 7 of 9

7. Question
Finish the following argument to make it valid:

Last night, the police were called to a break and enter on Finch Street. A criminal broke into a home and left behind very large, muddy footprints. The police found Frank near the home, but he did not have large shoes.
- Therefore, Frank was not likely the criminal.
- Therefore, the police asked Frank who broke into the house.
- Therefore, Frank must have changed his shoes quickly.
- Therefore, the police went back to the station.
Correct

Incorrect
Question 8 of 9

8. Question
Last night, the police were called to a break and enter on Finch Street. A criminal broke into a home and left behind very large, muddy footprints. The police found Frank near the home, but he did not have large shoes. Therefore, Frank was not likely the criminal.

Choose the argument that best represents the story above:
- If you were near Finch Street last night, then you may have broken into a home.
  Frank was near the broken-in home last night.
  Therefore, Frank may have broken into the home on Finch Street last night.
- If you are the police, you catch criminals.
  Frank is not a criminal.
  Therefore, the police did not catch Frank.
- If you had large shoes, you broke into a house on Finch street last night.
  Frank did not have large shoes.
  Therefore, Frank did not likely break into a house on Finch street last night.
- If Frank broke into a home on Finch Street last night, he had large shoes.
  Frank did not have large shoes.
  Therefore, Frank did not break into the home on Finch Street last night.
Correct

Incorrect
Question 9 of 9

9. Question
1. Form the following argument into symbols and logical connectors.
If Frank broke into a home on Finch Street last night, he had large shoes.
Frank did not have large shoes.
Therefore, Frank did not break into the home on Finch Street last night.

P = Frank broke into a home on Finch Street last night.
Q = Frank had large shoes.
- P → Q
  ¬ P
  ∴ ¬ Q
- P → Q
  ¬ Q
  ∴ ¬ P
- P → Q
  Q
  ∴ ¬ P
- Q → P
  ¬ Q
  ∴ ¬ P
Correct

Incorrect

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