4. Logically equivalent propositions are tautologies. 5. To prove p → q by contradiction, arrive at a contradictionrA~r where r is either p or ą. 6. When proving p + q, the results in proving p → q can be used in proving q →p.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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TRUE OR FALSE
4. Logically equivalent propositions are tautologies.
5. To prove p → q by contradiction, arrive at a contradiction rA~r where r is either p or q.
6. When proving p + q, the results in proving p → q can be used in proving q → p.
Transcribed Image Text:TRUE OR FALSE 4. Logically equivalent propositions are tautologies. 5. To prove p → q by contradiction, arrive at a contradiction rA~r where r is either p or q. 6. When proving p + q, the results in proving p → q can be used in proving q → p.
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10. Addition and Simplification can be applied to part of lines of proof.
11. If p, q, andr are false, then ~p\/q ^r is false.
12. The contrapositive of ~(pVq) → r is ~r → (p\Vq).
Transcribed Image Text:TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q, andr are false, then ~p\/q ^r is false. 12. The contrapositive of ~(pVq) → r is ~r → (p\Vq).
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