Inductive and Deductive Reasoning

Determine whether the reasoning below is valid or invalid based on the Law of Detachment.

If it is raining, then I will use an umbrella.

I am using an umbrella.

Therefore, it must be raining.

• Valid

• Invalid

Tags

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

Determine if inductive or deductive reasoning is being used.

Matt knows that high school football games are on Friday nights. Since today is Friday, he concludes there will be a football game tonight.

• Inductive

• Deductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the correct order of the statements below, based on the Law of Syllogism?

A) If a polygon is a parallelogram, then it is a quadrilateral.

B) If a polygon is a square, then it is a rhombus.

C) If a polygon is a rhombus, then it is a parallelogram.

• A, B, C

• C, A, B

• B, C, A

• B, A, C

Tags

CCSS.HSG.CO.C.11

Determine if inductive or deductive reasoning was used.

In order to gamble at a casino, you must be at least 21 years old.

Isaiah is gambling at a casino.

Therefore, he must be at least 21 years old.

• Inductive

• Deductive

Which of the following is the overall conclusion that can be written using the statements below, based on the Law of Syllogism?

If an animal is a fish, then it has fins instead of feet.

If an animal has fins instead of feet, then it swims instead of walking.

• A fish has fins and swims.

• If an animal is a fish, then it swims instead of walking.

• If an animal has fins instead of feet, then it swims instead of walking.

• If an animal swims instead of walking, then it lives in the water.

Determine if the reasoning is valid or invalid based on the Law of Detachment.

If you have given birth, then you are female.

Monica has given birth.

Therefore, Monice is female.

• Valid

• Invalid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the correct order of the statements below, based on the Law of Syllogism.

A) If you need a down payment, then you need to save up a lot of money.

B) If you want to buy a house, then you'll need a down payment.

C) If you need to save up a lot of money, then you will need to be frugal and responsible.

• B, A, C

• A, B, C

• C, A, B

• B, C, A

What is the overall conclusion that can be written using the statements below, based on the Law of Syllogism?

If the diameter of a circle is 10 feet, then its radius is 5 feet.

If the radius of a circle is 5 feet, then its area is approximately 78.5 square feet.

• A circle with an area of 78.5 square feet has a diameter of 10 feet.

• If the diameter of a circle is 10 feet, then its circumference is approximately 31.4 feet.

• If the radius of a circle is 5 feet, then its area is approximately 78.5 square feet.

• If the diameter of a circle is 10 feet, then its area is approximately 78.5 square feet.

Tags

CCSS.HSG.GMD.A.1

Determine if inductive or deductive reasoning is being used.

Blake knows that if there is a snow storm, then the roads will be slick.

The roads are slick.

Therefore, Blake concludes there was a snow storm.

• Inductive

• Deductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the overall conclusion that can be written using the statements below, based on the Law of Syllogism?

If a person is an English teacher, then they like reading.

If a person likes reading, then they'll own a lot of books.

• If a person is an English teacher, then they like reading.

• If a person owns a lot of books, then they'll also own a lot of bookcases.

• If a person is a Math teacher, then they'll own a lot of calculators.

• If a person is an English teacher, then they'll own a lot of books.