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c. Lefty: Muscles was shooting craps with Socko when Sharky was knocked off. d. Muscles: Lefty didn't kill Sharky. Who did kill Sharky? In 41-44 a set of premises and a conclusion are given. Use the valid argument forms listed in Table 2.3.1 to deduce the conclusion from the premises, giving a reason for each step as in Example 2.3.8. Assume all variables are statement variables. 42. a. p V q b. 9→r с. p^s→t d. ~r е. ~q→u^s f. .'. t 43. а. ~p →r^~s

c. Lefty: Muscles was shooting craps with Socko when Sharky was knocked off. d. Muscles: Lefty didn't kill Sharky. Who did kill Sharky? In 41-44 a set of premises and a conclusion are given. Use the valid argument forms listed in Table 2.3.1 to deduce the conclusion from the premises, giving a reason for each step as in Example 2.3.8. Assume all variables are statement variables. 42. a. p V q b. 9→r с. p^s→t d. ~r е. ~q→u^s f. .'. t 43. а. ~p →r^~s

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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Discrete math. I'm stuck on Q42, and another image is an example of the solution.

2.4 APPLICA c. Lefty: Muscles was shooting craps with Socko when Sharky was knocked off. d. Muscles: Lefty didn't kill Sharky. Who did kill Sharky? 42. а. p V q 9→r p^s →t d. с. ~r In 41-44 a set of premises and a conclusion are given. Use the valid argument forms listed in Table 2.3.1 to deduce the conclusion from the premises, giving a reason for each step as in Example 2.3.8. Assume all variables are statement variables. е. f. .. t ~q→u ^ s 43. а. ~p→r^~s
Transcribed Image Text:2.4 APPLICA c. Lefty: Muscles was shooting craps with Socko when Sharky was knocked off. d. Muscles: Lefty didn't kill Sharky. Who did kill Sharky? 42. а. p V q 9→r p^s →t d. с. ~r In 41-44 a set of premises and a conclusion are given. Use the valid argument forms listed in Table 2.3.1 to deduce the conclusion from the premises, giving a reason for each step as in Example 2.3.8. Assume all variables are statement variables. е. f. .. t ~q→u ^ s 43. а. ~p→r^~s
1. RK → GK by (a) GK → SB by (b) .. RK → SB by transitivity 2. RK → SB by the conclusion of (1) ~SB by (c) .'. ~RK by modus tollens 3. RL V RK by (d) ~RK by the conclusion of (2) ... RL by elimination 4. RL → GC by (e) RL by the conclusion of (3) .'. GC by modus ponens Thus the glasses are on the coffee table.
Transcribed Image Text:1. RK → GK by (a) GK → SB by (b) .. RK → SB by transitivity 2. RK → SB by the conclusion of (1) ~SB by (c) .'. ~RK by modus tollens 3. RL V RK by (d) ~RK by the conclusion of (2) ... RL by elimination 4. RL → GC by (e) RL by the conclusion of (3) .'. GC by modus ponens Thus the glasses are on the coffee table.
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