Inverse, Converse and Contrapositive Say P and Q are propositions. Given the implication P⇒ Q, or P > Q ● ● ● Write the conditional statements for inverse, converse and contrapositive of the following implication: 2. If you are more than 60 years old, then you are entitled to a senior citizen's card. its inverse is -P⇒-Q, or ~P~Q the converse is Q⇒ P, or Q> P its contrapositive is -Q⇒-P or ~Q ~P Follow this pattern 2. P: Q: ~P~Q: QDP: ~QD~P:

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ISBN:9780470458365
Author:Erwin Kreyszig
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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 P > Q
●
Write the conditional statements for inverse, converse and contrapositive of the following
implication:
2. If you are more than 60 years old, then you are entitled to a senior citizen's card.
its inverse is -P⇒-Q, or ~P~Q
the converse is Q⇒ P, or QDP
its contrapositive is ¬Q ⇒-P or ~Q - ~P
Follow this pattern
2. P:
Q:
~P~Q:
QDP:
~QD~ P:
Transcribed Image Text:Inverse, Converse and Contrapositive Say P and Q are propositions. Given the implication P⇒ Q, or P > Q ● Write the conditional statements for inverse, converse and contrapositive of the following implication: 2. If you are more than 60 years old, then you are entitled to a senior citizen's card. its inverse is -P⇒-Q, or ~P~Q the converse is Q⇒ P, or QDP its contrapositive is ¬Q ⇒-P or ~Q - ~P Follow this pattern 2. P: Q: ~P~Q: QDP: ~QD~ P:
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