Show Interval On Number Line....1

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Discussion Overview

The discussion revolves around representing the interval |x| < 2 on a number line, specifically focusing on the notation and visual representation of the interval. Participants are exploring the concepts related to open and closed intervals as well as seeking clarification on the reasoning behind their representations.

Discussion Character

  • Conceptual clarification, Debate/contested, Homework-related

Main Points Raised

  • One participant presents the interval -2 < x < 2 and asks for confirmation of their representation on the number line.
  • Another participant agrees with the representation and introduces WolframAlpha as a tool for checking answers, explaining the meaning of open and closed circles on a number line.
  • A different participant expresses a desire for a deeper explanation rather than just a solution, indicating they are studying precalculus.
  • One participant suggests that the original poster should clarify their need for an explanation in their initial post, implying that the request for confirmation may have been misinterpreted.

Areas of Agreement / Disagreement

There is some agreement on the representation of the interval, but participants express differing needs regarding the type of assistance they seek, leading to a lack of consensus on how to approach the problem.

Contextual Notes

Participants have not fully explored the implications of open versus closed intervals, and there is a lack of clarity regarding the expectations for explanations versus confirmations in the initial inquiry.

Who May Find This Useful

Students studying precalculus or those interested in understanding interval notation and its graphical representation on number lines.

mathdad
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Show interval on number line.

|x| < 2

Solution:

-2 < x < 2

<-----(---------)------>

Left side parentheses = -2

Right side parentheses = 2

Correct?
 
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Yes.

Have you heard of WolframAlpha? It's can be a very useful learning tool, especially for checking your answers.

Check this link and take note of the number line down the bottom. Open circles are equivalent to open brackets "(,)" closed circles, "[,]".

Wolfram|Alpha: Computational Knowledge Engine
 
I know about WolframAlpha but I am not looking just for the answer. I need an explanation as I travel through my precalculus textbook.
 
RTCNTC said:
I know about WolframAlpha but I am not looking just for the answer. I need an explanation as I travel through my precalculus textbook.

Then you need to make that clear in your post! In your OP you are asking if your working is correct, WolframAlpha can do the checking for you (for simple problems anyway). If you don't understand something, make it clear.
 

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