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3. p V 9 P 4. q V p 5. 9-p

3. p V 9 P 4. q V p 5. 9-p

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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fill in the reasons in the following proof sequence

Fill in the reasons in the following proof sequence. Make sure you indicate which step(s) each derivation rule refers to. (If a reason refers to multiple steps, enter the steps as a comma-separated list.) Statements Reasons Step(s) 1. p^ (q Vr) given given 2. -(p ^q) 3. p V q 4. q V p 5. qp 6. p 7. 8. 9 9. (qVr) ^p 10. q Vr 11. rVq 12. (r) Va 13. q 14. (r) 15. r 16. Par (p) addition ---Select--- addition associativity commutativity conjunction De Morgan double negation given implication modus ponens modus tollens simplification ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- ---Select-- ✓ V
Transcribed Image Text:Fill in the reasons in the following proof sequence. Make sure you indicate which step(s) each derivation rule refers to. (If a reason refers to multiple steps, enter the steps as a comma-separated list.) Statements Reasons Step(s) 1. p^ (q Vr) given given 2. -(p ^q) 3. p V q 4. q V p 5. qp 6. p 7. 8. 9 9. (qVr) ^p 10. q Vr 11. rVq 12. (r) Va 13. q 14. (r) 15. r 16. Par (p) addition ---Select--- addition associativity commutativity conjunction De Morgan double negation given implication modus ponens modus tollens simplification ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- ---Select-- ✓ V
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“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”.

Given: p∧q∨r and ~p∧q.

To find: The rule for the following expressions:

3. ~p∨~q

4. ~q∨~p

5.  q→~p

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