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Chapter 1: Problem 128

If \(x\) represents a number, write an English sentence about the number that results in an inconsistent equation.

Short Answer

Expert verified
An example sentence could be: 'The number \(x\) is such that when it is increased by two, it equals three and at the same time when decreased by one, it equals seven.' Both equations implied in this sentence cannot be true at the same time.

Step by step solution

01

Understanding inconsistent equations

An inconsistent equation is an equation that will not have any viable solutions. Usually, inconsistent equations occur when the equation is equivalent to a false statement, such as 0=1 or 7=8.
02

Creating the sentence

Below is an example of such sentence: 'The number \(x\) is such that when it is increased by two, it equals three and at the same time when decreased by one, it equals seven.' This suggests two inconsistent equations \(x + 2 = 3\) and \(x - 1 = 7\) which cannot be solved concurrently.

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