Inductive reasoning and Conjecture

Front

What is the conclusion of the statement: "If today is Friday, then tomorrow is Saturday."

Back

Tomorrow is Saturday.

Front

Making conclusions based on observations and patterns is known as:

Back

Inductive reasoning.

Front

Identify the converse of the statement: "If two angles are adjacent, then they have a common side."

Back

If two angles have a common side, then they are adjacent.

Front

Complete the conjecture: The product of any two odd numbers is _____________

Back

odd.

Front

Give the conjecture for the following sequence: 9, 6, 3, 0...

Back

To find the next term, subtract 3.

Front

What is inductive reasoning?

Back

Inductive reasoning is the process of making generalizations based on specific observations or patterns.

Front

What is a conjecture?

Back

A conjecture is a conclusion or proposition based on incomplete information, which is yet to be proven.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

If a statement is true, what can be said about its contrapositive?

Back

The contrapositive of a true statement is also true.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning involves making generalizations from specific cases, while deductive reasoning involves applying general principles to specific cases.