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] ^ (p v ~q) [(p v q) → r] ^ (p v ~q) O Option 1 Option 2 [(p^ q) → r] ^ (p ^~q) [(p v q) → r] ^ (p ^~q) O Option 3 Option 4

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following argument

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] ^ (p v ~q)
[(p v q) → r] ^ (p v~q)
Option 1
Option 2
[(p ^q) → r]A (p ^ ~q)
[(p v q) → r] ^ (p ^~q)
Option 3
O 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] ^ (p v ~q) [(p v q) → r] ^ (p v~q) Option 1 Option 2 [(p ^q) → r]A (p ^ ~q) [(p v q) → r] ^ (p ^~q) Option 3 O Option 4
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