Domain & Range Homework: Difference Explained

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Homework Help Overview

The discussion revolves around understanding the difference between two mathematical interval notations related to domain and range, specifically focusing on the exclusion of a particular value, x=1.

Discussion Character

  • Conceptual clarification

Approaches and Questions Raised

  • Participants explore the equivalence of two interval notations and question the consistency of their usage in different contexts.

Discussion Status

Some participants assert that the two intervals represent the same set, while others express confusion regarding the differences and seek clarification on the matter. The conversation reflects differing interpretations of the notation.

Contextual Notes

There is mention of inconsistencies found in textbook answers, which may influence the participants' understanding of the intervals.

dranseth
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Homework Statement


I don't really know how to ask this, so I'll get straight into an example.

x:x\in(-\infty,\infty) but x\neq1
x:x\in(-\infty,1)\cup(1,\infty)

what is the difference between these two intervals?


Homework Equations





The Attempt at a Solution


 
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There is no difference. They are both the whole real line except for x=1. Why do you ask?
 
At times when I look at answers in the back of the book, it is one or the other. There didn't appear to be any consistency, so I was wondering if I was possibly missing something..
 
Yes, you are missing seeing that they are the same thing!
 

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