If-Then Statesments, Converse, Contrapositive and Inverese

Tutoring on If-Then Statesments, Converse, Contrapositive and Inverese

Learning Objectives:

Understand If-Then, Converse and Contrapositive Statements.

Math Tutoring on If-Then Statements, Converse, Contrapositive and Inverse

If-Then Statement:

If p, then q is an if-thenstatement, where p is called the Hypothesis or Antecedent and q is called the Conclusion or Consequent.

An if-then” statement is called a Conditional Statement. Conditional Statements sometimes are expressed without the word if and then but can always be restated using if and then.

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 Converse of the original “if-then” statement. The Converse of a ‘true’ statement, can be ‘true’ or ‘false’.

Statement: if p, then q. E.g. If it is raining, then it is cloudy.

Converse: if q, then p. E.g. If it is cloudy, then it is raining.

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.

 

 

Learn ‘If-Then Statements, Converse, Contrapositive and Inverse with AffordEdu.
Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *  

 

 

Hook questions:

1.    State the notation:.

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

 

 

Learn ‘If-Then Statements, Converse, Contrapositive and Inverse with AffordEdu Online One on One Math Tutoring.

Struggling with If-Then Statements, Converse, Contrapositive and Inverse? Need math help for homework? You are not the only one. Fortunately our experts in math tutoring are online now and are ready to help.



 

 

 

 

MORE TOPIC RECOMMENDATIONS FOR YOU