Int 2 Quiz on Inductive and deductive reasoning

Which of the following best describes inductive reasoning?

• A process of introducing your friends.

• Reasoning uses facts, theorems, accepted statements, and the law of logic to form a logical argument.

• A process that includes looking for patterns and making conjectures.

• A process of arguing with your boyfriend.

Deductive reasoning is...

• The process uses observations and making conjectures.

• The process that forms broad conclusion from specific observations.

• Reasoning that is used in writing science project reports.

• Reasoning that uses facts, theorems, accepted staments, and the law of logic to form a logical conclusions.

If it is a triangle, than it is a polygon.

• The hypothesis is "it is a triangle".

• The conclusion is "it is a triangle".

• The statement is false.

• The hypothsis is "it is a polygon"

What is a law of detachment?

• If the condition is true, then the hypothesis is true.

• If the statements are true, the following statement is true.

• If the hypothesis is true, then the conclusion is true.

• If you detached with your girl friend, then she will be mad.

Write a conditional statement for "All students must have student IDs.".

• If you are a student, then you must have a student ID.

• If you have an ID, then you are a student.

• If you don't have an ID, then you are not a student.

• If you are not a student, then you don't have an ID.

Tags

CCSS.RF.3.3B

CCSS.RF.3.3C

CCSS.RF.3.3D

CCSS.RF.4.3A

CCSS.RF.5.3A

Use the Venn Diagram on the board, answer this question.

• If you live in California, then you live in El Monte.

• If you Live in El Monte, then you live in California.

• If you live in the US, then you live in California.

• If you live in California, then you live in the US.

In the Venn diagram on the board,

• The hypothesis is "Rectangles".

• The conclusion is "Squares".

• The hypothesis is "Squares".

• The conclusion is "Triangles"

If John go to the movie, then he will not study for the test tomorrow.

If John does not study for the test tomorrow, then he will not pass this class.

John is going to the movie.

What is the conclusion? What is the reason justify your conclusion?

• John is not going to study for the test tomorrow. By Law of Syllogism

• John is going to study for the test tomorrow. Because he doesn't want to fail this class.

• John is going to pass this class. By law of detachment.

• John will not pass this class. By Law of Syllogism.

In the series of numbers:

1,1,2,3,5,8,...

Find the next 3 numbers.

• 12, 17, 23.

• 10, 15, 17.

• 9, 11, 13.

• 13, 21, 34.

Tags

CCSS.HSF.BF.A.2

Find the counterexample for the following statement.

If a number is divisible by 4, then it is divisible by 8.

• x= 16.

• x= 12.

• x= 24.

• x= 32.