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If passing is out of the question, there’s no point in going to class. If there’s no point in going to class, then attending college makes no sense. __________________________________________________________ If passing is out of the question, then attending college makes no sense.

Name: Problem 2, Chapter 6: Finite Mathematics and Calculus with Applications
Uploaded: 2020-05-11T16:31:14-08:00
Duration: 1 min 19 s
Channel: Amy Jiang
Description: If passing is out of the question, there’s no point in going to class. If there’s no point in going to class, then attending college makes no sense. If passing is out of the question, then attending college makes no sense.

   If passing is out of the question, there’s no point in going to class.
If there’s no point in going to class, then attending college
makes no sense.
__________________________________________________________
If passing is out of the question, then attending college makes
no sense.

Finite Mathematics and Calculus with Applications

Margaret L. Lial,… 9th Edition

Chapter 6, Problem 2

Instant Answer

Solved by Expert Amy Jiang

05/11/2020

Step 1

Let's denote "passing is out of the question" as \(Q\), "there's no point in going to class" as \(C\), and "attending college makes no sense" as \(S\). Show more…

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If passing is out of the question, there’s no point in going to class. If there’s no point in going to class, then attending college makes no sense. __________________________________________________________ If passing is out of the question, then attending college makes no sense.

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Key Concepts

Conditional Reasoning

Conditional reasoning involves working with 'if-then' statements to draw logical conclusions. It is a fundamental aspect of deductive logic where the truth of one statement leads to the truth of another, creating a chain of implications that must be valid for the argument to hold.

Hypothetical Syllogism

Hypothetical syllogism is a logical rule that allows one to conclude that if one statement implies a second, and that second statement implies a third, then the first statement implies the third. This transitive property of implication is crucial for linking conditions in deductive arguments.

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