here the answer would be basically:

i) AB: 2<x<1

ii) C: 6

iii) D: 8

could you please explain to me how to solve it and understand it properly? Thanks!

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- Mar 28th 2013, 11:57 PMRenrierange of values and conditions
here the answer would be basically:

i) AB: 2<x<1

ii) C: 6

iii) D: 8

could you please explain to me how to solve it and understand it properly? Thanks!

Attachment 27729 - Mar 29th 2013, 05:54 AMRuunRe: range of values and conditions
You are given a polynomial of degree two in , . A convenient way of writing it is in the form where and are its roots, this is, the numbers such that the polynomial is zero.

**Now the reasoning**: Because the polynomial is a continuous function, these two numbers set a change of sign in the expression . So you should check whether is positive or negative if is greater or smaller than and .

Also for the absolute value condiction this means - Mar 29th 2013, 07:53 AMHallsofIvyRe: range of values and conditions
Essentially, you are asked to solve an inequality: . And the simplest way to do that is to solve the associated

**equation**. As Ruun suggests, we can factor . So where is that**equal**to 0? Those points separate "> 0" from "< 0". Just pick one value in each interval to see whether it is "> 0" or "< 0".