Inverse, Converse and Contrapositive Say P and Q are propositions. Given the implication P⇒ Q, or P > Q its inverse is -P⇒-Q, or ~P~Q • the converse is Q⇒ P, or QP its contrapositive is -Q⇒-P or ~Q ~P Write the conditional statements for inverse, converse and contrapositive of the following implication: 1. If this book is interesting, then I am staying at home. Follow this pattern 1. P: Q: ~P~Q: QDP: ~QU~P:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Inverse, Converse and Contrapositive
Say P and Q are propositions. Given the implication P⇒ Q, or PD Q
its inverse is -P⇒-Q, or ~P~Q
• the converse is Q⇒ P, or Q> P
its contrapositive is -Q⇒ P or ~Q ~P
Write the conditional statements for inverse, converse and contrapositive of the following
implication:
1. If this book is interesting, then I am staying at home.
Follow this pattern
1. P:
Q:
~P~Q:
Q> P:
~QD~P:
Transcribed Image Text:Inverse, Converse and Contrapositive Say P and Q are propositions. Given the implication P⇒ Q, or PD Q its inverse is -P⇒-Q, or ~P~Q • the converse is Q⇒ P, or Q> P its contrapositive is -Q⇒ P or ~Q ~P Write the conditional statements for inverse, converse and contrapositive of the following implication: 1. If this book is interesting, then I am staying at home. Follow this pattern 1. P: Q: ~P~Q: Q> P: ~QD~P:
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