Solve Pre-Calc Interval Inequalities | Basic Tutorial

  • Context: High School 
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Discussion Overview

The discussion revolves around solving interval inequalities in a pre-calculus context. Participants seek clarification on expressing intervals using inequalities and sketching the numbers within those intervals. The scope includes basic concepts related to interval notation and inequalities.

Discussion Character

  • Homework-related
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about an assignment involving interval notation and requests help with specific problems.
  • Another participant provides links to resources related to inequalities and interval notation, questioning the use of "rads" and suggesting they may refer to square roots.
  • Clarification is provided regarding the notation for square roots, with a participant confirming their understanding of the term.
  • A participant questions whether the teacher covered the differences between open and closed intervals, suggesting that the assignment may assume prior knowledge from algebra 2.
  • There is a discussion about the interpretation of the interval notation, with one participant pointing out a potential error in the original problem regarding the relationship between square roots.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and familiarity with the concepts, indicating that there is no consensus on the interpretation of the interval notation or the specifics of the assignment.

Contextual Notes

There are unresolved questions regarding the original problem's notation and the assumptions about prior knowledge that may affect participants' understanding.

andrea1
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i just started pre-calc, we were not taught anything and yet given an assignment. i am sure these are very basic and perhaps dumb problems to be stuck on, but i don't get what to do.

"express the interval using inequalities, and give a sketch of the numbers in the interval."

1) [-3,-1]

2) [*rad*5, -*rad*2]

there is more, but if someone can just explain what i do that'd be great!
 
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yes i do, didn't know how to make that
 
andrea1 said:
yes i do, didn't know how to make that

To see the code used to make that, just click on it.
 
Did your teacher explain to you what the brackets mean vs. parenthesis, and talk about the difference between open and closed intervals?
Your teacher might be assuming you covered these topics in algebra 2 and this is just review.
 
[-3, -1] is -3<= x<= -1.

Did your text actually have "*rad*" or did you choose that as a way of writing
[tex]\[sqrt{5},-\sqrt{2}][/tex]? Well, even if you did, it would make no sense: [tex]\sqrt{5}[/tex] is NOT less than [tex]-\sqrt{2}[/tex]. If the original problem was [[tex]-\sqrt{5},-\sqrt{2}] then that is [tex]-\sqrt{5}<= x<= -\sqrt{2}[/tex].[/tex]
 

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