Is the Statement 12/c^2 True or False? A Counterexample Analysis

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Homework Help Overview

The discussion revolves around the truth value of the statement involving the expression 12/c² and its implications. Participants are exploring the mathematical relationships and interpretations of the expressions presented.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the completeness of the original statement and its implications. There are discussions about the meanings of the expressions 12/c² and 12/c, as well as their connections. Some participants are attempting to provide counterexamples and numerical substitutions to test the validity of the statement.

Discussion Status

The discussion is active, with participants raising questions about the clarity and completeness of the original problem. Some have provided counterexamples, while others are still seeking clarification on the wording and implications of the statement.

Contextual Notes

There is uncertainty regarding the interpretation of the statement and the values of c being considered, with an emphasis on avoiding zero as a possible value.

jmich79
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is this true or false and why?
If 12/c^2, then 12/c
 
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What work have you done so far?
 
Get out your truth table.

Are you sure that's the entire question? If it is, return to sender. As it stands the question has no answer. You can arbitrarily determine its truthiness. Even your gut feeling would be a valid argument.

Can you think of why there is no answer? What does 12/c<sup>2</sup> mean? What does 12/c mean? What is the connection between the two? What is the inference you are trying to establish?
 
Last edited:
12 divides 18^2 but 12 doesn't divide 18.
 
I've placed some numbers in for c and c^2 to see if it works. But i do not get the wordin of the question. i would believe any value of c would work except zero.
 
jmich i provided you with a counterexample if i understood the question right. therefore the statement is false.
 

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