Draw a conclusion from the statement. If you go fishing, then you will need to bring your fishing rod. You go fishing.

You will need to bring your fishing rod.

Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy

If you exercise regularly, then you have more energy

If you do not have a healthy body, then you do not exercise regularly

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, therefore

the big test will not be given today.

look out for the snowplows while driving to school.

the roads will be hard to drive on.

you should call the school to see if school is canceled.

If a taxi driver has a long drive, then the fare will be large. Aaron is a taxi driver who takes a customer from the Cedar Rapids Airport to Iowa City. He expects to receive a large fare. Is he correct?

Yes. Cedar Rapids to Iowa City is a long drive, so, by the Law of Detachment, he can assume the conclusion is true, he will receive a large fare.

No, he can't assume the conclusion is true.

If Mrs. Hafner walks dogs at the animal shelter, then she has a late dinner. If it is Wednesday, then Mrs. Hafner walks dogs at the animal shelter. What can you conclude?

If it is Wednesday, then Mrs. Hafner has a late dinner.

If Mrs. Hafner has a late dinner, then she walks dogs at the animal shelter.

If Mrs. Hafner has a late dinner, then it is Wednesday.

If it is Monday, then Garfield is grumpy. If it is Monday, then John will feel Garfield lasagna. What can you conclude?

If Garfield is grumpy, then John will feed Garfield lasagna.

Garfield is grumpy, if it is Monday.

If John feeds Garfield lasagna, then it is Monday.

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles. What can you conclude?

If a figure is a square, then it has 4 right angles.

If a figure has 4 right angles, then it is a square.

If a figure is a rectangle, then it is a square with 4 right angles.

If this wind keeps up, then we will lose some trees. We lose some trees. Andy concludes that the wind keeps up. Is he correct?

No; the Law of Detachment doesn't work here because we weren't told the hypothesis was true.

If it is rainy outside, then the sun is behind clouds. The sun is behind the clouds. What can you conclude?

If it is rainy outside, then the sun is behind the clouds.

If I go on vacation, I’ll spend money. If I spend money, I’ll be broke. If I’m broke, I’ll have to get another job. What can you conclude?

If I go on vacation, I'll have to get another job.

If I get another job, I'll spend money.

If I'm broke, I'll spend money.

Inductive vs Deductive Reasoning

Authored by Lauren Barrett

Mathematics

9th - 10th Grade

CCSS covered

Used 5+ times

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30 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

If the neighbors complain, then the stereo will be loud.

If the stereo is on, then the neighbors will complain.

If the stereo is volume is loud, then the stereo is on.

If the stereo is on, then the volume is loud.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Since all humans are mortal, and I am human, then I am mortal.

Deductive

Inductive

Tags

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Sarah just moved here from Chicago, and she has blue eyes. Therefore, all people from Chicago have blue eyes.

Deductive

Inductive

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All cars have at least two doors. A Ford Focus is a car, so the Ford Focus has at least two doors.

Deductive

Inductive

Tags

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RI.8.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Invalid

Valid

Sammy is a Great Dane

Sammy is really a cat.

Tags

CCSS.HSS.CP.A.5

MULTIPLE CHOICE QUESTION

20 sec • 12 pts

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Then it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

You live in Disney Land

You are an old person.

You live in Florida

You live in Orlando

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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Inductive vs Deductive Reasoning

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

Since all humans are mortal, and I am human, then I am mortal.

Sarah just moved here from Chicago, and she has blue eyes. Therefore, all people from Chicago have blue eyes.

All cars have at least two doors. A Ford Focus is a car, so the Ford Focus has at least two doors.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Inductive vs Deductive Reasoning

What conclusion can be drawn from the following statements?If the stereo is on, then the volume is loud. If the volume of the stereo is loud, then the neighbors will complain.

Since all humans are mortal, and I am human, then I am mortal.

Sarah just moved here from Chicago, and she has blue eyes. Therefore, all people from Chicago have blue eyes.

All cars have at least two doors. A Ford Focus is a car, so the Ford Focus has at least two doors.

Determine whether the stated conclusion is valid.Given: If an animal is a dog, then they like biscuits.Sammy is a dog.Conclusion: Sammy likes biscuits.

Draw a conclusion from the statement.If a whole number is even, then its square is divisible by 4.The number I am thinking of is an even number.

Draw a conclusion from the statement.If you live in Orlando, then you live in Florida.You live in Orlando.

Draw a conclusion from the statement.If you are at least 25 year old, then you can rent a car.You can rent a car

Draw a conclusion from the statement.If you go fishing, then you will need to bring your fishing rod.You go fishing.

Draw a conclusion from the statement.If Jack goes to school, then it is Monday.Jack doesn't go to school.

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.