Math Tutoring on If-Then Statements, Converse, Contrapositive and Inverse
If-Then Statement:
If ‘p’, then ‘q’ is an “if-then”statement, 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.