Hey I have a question about inequalities

  • Thread starter Thread starter MartynaJ
  • Start date Start date
  • Tags Tags
    Hey Inequalities
Click For Summary

Homework Help Overview

The discussion revolves around formulating an inequality of degree higher than 6 that satisfies specific solution intervals: x < -3, 0 < x < 2, and 2 < x < 6. Participants are exploring the implications of the problem statement and the nature of polynomial inequalities.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the meaning of an inequality with a degree higher than 6 and whether the original poster has studied relevant concepts. There is discussion about the relationship between the given solution intervals and the roots of a polynomial.

Discussion Status

The conversation is ongoing, with participants providing hints and suggestions for the original poster to refer to their textbook and class notes for examples. There is a recognition of the need for the original poster to demonstrate some understanding before continuing the discussion.

Contextual Notes

There is an indication that the original poster has not yet shown any work related to the problem, which has led to a suggestion to revisit foundational materials before proceeding.

MartynaJ
Messages
18
Reaction score
1
Poster has been reminded to show their work on schoolwork problems
Homework Statement
Determine a possible inequality question (in any form) with a degree higher than 6 the has the solution: x<-3 or 0<x<2 or 2<x<6. Justify your solution in full detail
Relevant Equations
x<-3 or 0<x<2 or 2<x<6
I am honestly not sure where to start. Please give me a hint on how to solve this problem. Thanks!
 
Physics news on Phys.org
Thread is in Moderation pending approval...
 
MartynaJ said:
Homework Statement:: Determine a possible inequality question (in any form) with a degree higher than 6 the has the solution: x<-3 or 0<x<2 or 2<x<6. Justify your solution in full detail
Relevant Equations:: x<-3 or 0<x<2 or 2<x<6

I am honestly not sure where to start. Please give me a hint on how to solve this problem. Thanks!
What does an inequality with a degree higher than 6 mean in this context? Have you studied that yet? (and if not, why are they asking you this question?)
 
berkeman said:
What does an inequality with a degree higher than 6 mean in this context?
The OP probably has studied polynomials (in factored form), and is asked to solve an inequality something like p(x) > 0, where p(x) is a polynomial of degree >= 6.
 
  • Like
Likes   Reactions: berkeman
Mark44 said:
The OP probably has studied polynomials (in factored form), and is asked to solve an inequality something like p(x) > 0, where p(x) is a polynomial of degree >= 6.
Ya we studied polynomials in factors form, but I am not sure how I can solve this.
 
MartynaJ said:
Ya we studied polynomials in factors form, but I am not sure how I can solve this.
Then I suggest you look at your textbook and class notes to see if there is a similar example.
Given the inequalities x<-3 or 0<x<2 or 2<x<6 , the polynomial will have roots (x-intercepts) at x = -3, x = 0, x = 2, and x = 6. This should suggest what the factors should be.

Since you haven't shown any work in this thread, I am closing it. When you have some idea of what to do, please start a new thread.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
11
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 15 ·
Replies
15
Views
1K
  • · Replies 19 ·
Replies
19
Views
2K
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K