Hey I have a question about inequalities

[MartynaJ]

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!

 

[berkeman]

Thread is in Moderation pending approval...

 

[berkeman]

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?)

 

[Mark44]

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.

 

[MartynaJ]

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.

 

[Mark44]

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.