Learning Objectives:

__Math Tutoring on If-Then Statements, Converse, Contrapositive and Inverse__

__If-Then Statement:__

If **‘ p’**, then

An **“ if-then” statement** is called a

__Various forms of conditional Statements:__

1. If *‘p’*, then *‘q’*. e.g. .

2. *‘p’* implies *‘q’*. e.g. .

3. *‘p’*only if *‘q’*. e.g. .

4. *‘q’* if *‘p’*. e.g. .

__The Converse of an if-then Statement__

When the **Hypothesis** and **Conclusion** of an **“ if-then”Statement** are interchanged, the new statement is called the

*Statement: ***if p, then q**

*Converse: ***if q, then p**

__Contrapositive and Inverse of an if-then statement:__

*Statement:*** if p, then q**

*Contrapositive:*** If not q, then not p**

*Inverse:*** if not p, then not q**

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**Hook questions:**

*1. **State the notation:**.*

*2. **State The **Converse, Inverse** and **Contrapositive** **of an **“if-then” Statement.*

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