Describe and diagram the set determined by the condition

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SUMMARY

The discussion centers on solving the inequality defined by the condition 0 < |x + 3| < 1/4. The correct solution is established as (-13/4) < x < (-11/4) with the additional condition that x ≠ -3. Participants highlight that the textbook referenced is known for containing errors, prompting a verification of the solution's accuracy.

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mxc
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Homework Statement


0<[itex]\left|x+3\right|[/itex]<1/4


Homework Equations





The Attempt at a Solution


(-13/4)<x<(-11/4) and x[itex]\neq-3[/itex]

Thanks in advance. This is my first post and I am unfamiliar with formatting this kind of stuff so I will work on getting better at that aspect.
 
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mxc said:

Homework Statement


0<[itex]\left|x+3\right|[/itex]<1/4


Homework Equations





The Attempt at a Solution


(-13/4)<x<(-11/4) and x[itex]\neq-3[/itex]

Thanks in advance. This is my first post and I am unfamiliar with formatting this kind of stuff so I will work on getting better at that aspect.

That looks OK. What's your question?
 
The book says the solution is (-13/4)<x<(-11/4).

It should be noted that this particular book is notorious for being rife with errors, but I always want to make sure that I am not wrong. Thank you LCKurtz.
 

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