Consider the following argument: If I am eilher sleeping well or doing my assignments, then I will pass the GMath course. Tam 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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the symbolic form represents the hypothesis

Consider the following argument:
If I am either sleeping well or doing my assignments, then I will pass the GMath
course.
Iam 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?
[(pnq) → r] A (p v ~q)
[(p v q) → r]^ (p V ~q)
Option 1
Option 2
[(p^q) → r] ^ (p ^ ~q)
[(p v 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. Iam 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? [(pnq) → r] A (p v ~q) [(p v q) → r]^ (p V ~q) Option 1 Option 2 [(p^q) → r] ^ (p ^ ~q) [(p v q) → r] ^ (p ^ ~q) Option 3 Option 4
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