Consider the following argument: If I am either sleeping well or doing my assignments, then I will pass the GMath course. I am sleeping well but I am not doing my assignments. Hence, I will not pass the GMath course Let p = "I am sleeping well.", q = "I am doing my assignments.", and r = "I will pass the GMath course." Which of the following symbolic forms represents the hypothesis (or the conjunction of the premises) in the given argument? [(p^q) →r] ^ (pv~q) [(pvq) →r] ^ (pv~q) Option 1 Option 2 [(p^q) →r]^ (р^~q) [(pvq) →r]^(p^~q) Option 3 Option 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following argument:
If I am either sleeping well or doing my assignments, then I will pass the GMath
course.
I am sleeping well but I am not doing my assignments.
Hence, I will not pass the GMath course
Let p = "I am sleeping well.", q = "I am doing my assignments.", and r= "I will pass
the GMath course."
Which of the following symbolic forms represents the hypothesis (or the conjunction
of the premises) in the given argument?
[(p^q) →r] ^ (pv ~q)
[(pvq) →r] ^ (pv ~q)
Option 1
Option 2
[(p^q) →r] ^ (p^~q)
[(pv q) →r] ^ (p^~q)
Option 3
Option 4
Transcribed Image Text:Consider the following argument: If I am either sleeping well or doing my assignments, then I will pass the GMath course. I am sleeping well but I am not doing my assignments. Hence, I will not pass the GMath course Let p = "I am sleeping well.", q = "I am doing my assignments.", and r= "I will pass the GMath course." Which of the following symbolic forms represents the hypothesis (or the conjunction of the premises) in the given argument? [(p^q) →r] ^ (pv ~q) [(pvq) →r] ^ (pv ~q) Option 1 Option 2 [(p^q) →r] ^ (p^~q) [(pv q) →r] ^ (p^~q) Option 3 Option 4
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