Saturday
April 19, 2014

Homework Help: math

Posted by joe on Sunday, October 29, 2006 at 7:02pm.

|(x-3)/(x+5)|< 2

i've asked so many ppl, but they all give me different answers :(


Well if the expression is less than two, and the abs function is positive, then the ratio is between 0 and 2. Lets look inside the abs function, it can be negative, because the abs will make it positive.
If that is so, then...
-2 < (x-3)/(x+5)<2 multiply the expression by x+5
-2 (x+5)< (x-3) <2(x+5)
-2x -10 < x-3 < 2x +10
-10 < x-3+ 2x < 4x +10
Now, examining this part -10 < x-3+ 2x
or -7 <3x
or x > -7/3
x>-2.33333 Examining the other part.. x-3+ 2x < 4x +10
-3 < 3x +10
-13 < 3x
x > -13/3 x>- 4.3333 but both of these must occur, so x> -2.333..
Now to check it. Let x=-2, 4, and -5(it should not check on this one. Let me know if you have difficulty.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

calculus 2 - Justify, with a written explanation or a mathematical reasoning ...
math - would this be a correct proof of the cauchy-schwartz inequality: abs=...
Math - Find the domain of the function. Show all work. 1 if -9 < or = x<-7...
Calc - This is a piecewise function on one graph: f(x)= 3, -4 <or= x <or= ...
math - will anyone explain to me how to solve two step inequalities? it would be...
extreme value of absolute..... - find the extreme values of the function on the ...
Absolute Value and Limits - solve for limits of 1+ and 1- for this function: (x^...
precalculus - Help appreciated~ 1.Use the quadratic formula to determine when f(...
Geometry - Show the conhecture is false by finding a counterexample... 1. The ...
math - Describe all the integer values of x that satisfy abs(x)is less thatn abs...

Search
Members