2.1 & 2.3 Inductive and Deductive Reasoning

Using the statement:

If it is Friday, then I will get paid.

What is the conclusion?

• It is not Friday

• It is Friday

• I will not get paid

• I will get paid

Inductive Reasoning means...

• Guessing

• Using patterns to make conjectures

• Explaining why

• Using facts to make generalizations

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

What type of reasoning is this?

• Deductive

• Inductive

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.

What type of reasoning is this?

• Deductive

• Inductive

All chickens that we have seen have been brown; so, all chickens are brown.

What type of reasoning is this?

• Deductive

• Inductive

What are the next 3 numbers in the pattern?

320, -160, 80, -40...

• 20, -10, 5

• 20, 10, 5

• -20, -10, -5

• 20, 10, 0

What are the next 3 numbers in the pattern?

50, 40, 30, 20...

• 10, 0, -10

• 10, 5, 0

• 10, -10, -20

• 10, 20, 30

How can you prove a conjecture is false?

• Counterexample
• Not Possible
• Patterns

Complete the conjecture.
The sum of two negative numbers is ___________.

• positive
• negative
• odd
• even

Find the next item in the pattern:
-3, 6, -12, 24, ...

• 36
• -36
• 48
• -48