Here Is a Sample Proof That Contains an Error $a \mid b$

question 51

Short Answer

Here is a sample proof that contains an error. Explain why the proof is not correct. Theorem: If $a \mid b$ and $b \mid c$ , then $a \mid c$ . Proof: Since $a \mid b , b = a k$ .
Since $b \mid c , c = b k$ .
Therefore $c = b k = ( a k ) k = a k ^ { 2 }$ .
Therefore $a \mid c$ .

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Definitions:

Pay Ranges

A structure that defines the minimum and maximum salary that can be offered for a specific job position or grade within an organization.

Transferring Employees

The process of assigning employees to different tasks, positions, or locations within an organization.

Pay Differential

The difference in payment rates based on factors such as job function, location, or hours worked.

Market Forces

Economic factors that influence the supply, demand, and pricing of goods and services without direct governmental intervention.