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1. Proof the following by deductive reasoning: a) (p - 9) A (q →r) =p-r Transitive Law b) (p - r) v (q - s) = (pAq) - (r v s) Constructive Dilemmas (CD) (p - 4) A (r - s) =(qv ~s) → (-pV~r) Destructive Dilemmas (DD) d) (p- q) Ap = c) Modus Ponens (MP)

1. Proof the following by deductive reasoning: a) (p - 9) A (q →r) =p-r Transitive Law b) (p - r) v (q - s) = (pAq) - (r v s) Constructive Dilemmas (CD) (p - 4) A (r - s) =(qv ~s) → (-pV~r) Destructive Dilemmas (DD) d) (p- q) Ap = c) Modus Ponens (MP)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Proof the following by deductive reasoning: a) (p - q) A (a →r) =pr Transitive Law b) (p - r) v (q → s) = (p Aq) - (r v s) Constructive Dilemmas (CD) c) (p - 4) A (r - s) =(~qv ~s) (~pV ~r) Destructive Dilemmas (DD) d) (p q) Ap =4 Modus Ponens (MP)
Transcribed Image Text:1. Proof the following by deductive reasoning: a) (p - q) A (a →r) =pr Transitive Law b) (p - r) v (q → s) = (p Aq) - (r v s) Constructive Dilemmas (CD) c) (p - 4) A (r - s) =(~qv ~s) (~pV ~r) Destructive Dilemmas (DD) d) (p q) Ap =4 Modus Ponens (MP)
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