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Page 1: 3.6 The Inverse and Contrapositive of Conditional StatementsJan 08, 2013  · 08. Inverse and Contrapositive Day 2.notebook March 26, 2013 If a conditional statement is true, then

08. Inverse and Contrapositive ­ Day 2.notebook March 26, 2013

3.6 The Inverse and Contrapositive of Conditional Statements

Page 2: 3.6 The Inverse and Contrapositive of Conditional StatementsJan 08, 2013  · 08. Inverse and Contrapositive Day 2.notebook March 26, 2013 If a conditional statement is true, then

08. Inverse and Contrapositive ­ Day 2.notebook March 26, 2013

Notation:

Conditional Statement:If p, then q.

Converse: 

Biconditional:

Inverse:

Contrapositive:

Page 3: 3.6 The Inverse and Contrapositive of Conditional StatementsJan 08, 2013  · 08. Inverse and Contrapositive Day 2.notebook March 26, 2013 If a conditional statement is true, then

08. Inverse and Contrapositive ­ Day 2.notebook March 26, 2013

Consider the statement:

Write the statement in the following forms:

If I'm in math class, then I am having fun.

If I'm in math class, then I am having fun.

Page 4: 3.6 The Inverse and Contrapositive of Conditional StatementsJan 08, 2013  · 08. Inverse and Contrapositive Day 2.notebook March 26, 2013 If a conditional statement is true, then

08. Inverse and Contrapositive ­ Day 2.notebook March 26, 2013

If a conditional statement is true, then its contrapositive is true, and vice­versa.

If the inverse of a conditional statement is true, then the converse of the statement is also true, and vice­versa.

Page 215

Page 5: 3.6 The Inverse and Contrapositive of Conditional StatementsJan 08, 2013  · 08. Inverse and Contrapositive Day 2.notebook March 26, 2013 If a conditional statement is true, then

08. Inverse and Contrapositive ­ Day 2.notebook March 26, 2013

Write two true conditional statements where the inverse is also true.

Write two true conditional statements where the inverse is false.

Page 6: 3.6 The Inverse and Contrapositive of Conditional StatementsJan 08, 2013  · 08. Inverse and Contrapositive Day 2.notebook March 26, 2013 If a conditional statement is true, then

08. Inverse and Contrapositive ­ Day 2.notebook March 26, 2013

Pages 214­216#1­15

Pages 203­206#1­13, 15


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