1. Conditional Statements Chapter 2 Section 2

2. Conditional Statement A statement where a condition has to be met for a particular outcome to take place More commonly known as “If Then Statements”

3. Hypothesis The part of a conditional statement that must happen to trigger a certain affect. It is denoted by a “p”

4. Conclusion The part of a conditional statements that happens as a result of the hypothesis. It is denoted by a “q”

5. Conditional Statement in Symbols If p then q

6. Inductive Reasoning Reasoning based on patterns you observe.

7. Conjecture A conclusion reached using inductive reasoning. It’s sort of like a hypothesis only instead of using the scientific method, you just use inductive reasoning.

8. Counter Example An example that shows the conjecture is incorrect.

9. Page 90 in the Textbook Look at example Problems 1 and 2

10. Truth Value Whether a conditional statement is true or false.

11. Page 90 in the Textbook Look at Problem 3

12. Negation The opposite of a statement The opposite of a statement “p” would be written as ~p and is read “not p”.

13. Manipulations of A Conditional Statement 1.Converse 2.Inverse 3.Contrapositive

14. Converse Flip the hypothesis and the conclusion. If it is raining outside, then I will get wet. Converse: If I get wet, then it is raining outside.

15. Inverse Negate both the hypothesis and the conclusion If it is raining outside, then I will get wet. Inverse: If it is not raining outside, then I will not get wet.

16. Contrapositive Negate the hypothesis and the conclusion of the converse. If it is raining outside, then I will get wet. Converse: If I get wet, then it is raining outside. Contrapositive: If I do not get wet, then it is not raining outside.

17. Equivalent Statement Conditional statements with the same truth value. Look at the chart at the bottom of page 91.

18. Page 92 in the Textbook Look at Problem 4