6.6

=Chapter 6.6 solving inequalities= = Matt **Gross**mann = = main idea: =

compound inequalities rewrite the inequality as two different inequalities then solve sepperatly.
= Problem 1: = =IxI __<__ 8 = = solution for number 1 = x__<__8 or x__<__ -8  ` ` ` ` -8 ` ` ` `-4 ` ` ` `0 ` ` ```4 ` ```8

=**problem 2**:= v>2/3 =solution for number 2:= v>2/3 or v>-2/3

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= Erlan Leyva = Main Idea: Recall that |x|=3 means that the distance between x and 0 is 3. The inequality |x|<3 means that the distance between x and 0 is less than 3, and |x|>3 means that the distance between x and 0 is greater than 3. The graphs of |x|<3 and |x|>3 are shown bellow.

=**Problem # 1**= |x|>4 = Solution for problem # 1 = -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 <-|---|---|---|---|---|---|---|---|---|---|---|-> <---o o-> =Problem # 2=
 * y|__>__3

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============================================================================================================= = 6.6 Solve Absolute Vaule Inequalities by P a i g e K e i m = = ﻿ =

Main Idea:

|x|=3 the distance between x and 0 is 3

|x|<3 means that the distance between x and o is less than 3

|x|>3 greater than 3

Circles are colored when __>__ or __<__ symbol is underlined

Problem 1: 4c+5__>__ 7

Problem 2: 2a+7<3

Example # 1: 4c+5__>__7 __-5__ __-5__ __4c > 2__ 4 4 C>1\2

Example # 2: 2a+7<3 __-7__ < __-7__ __2a<-4__ 2 2 a<-2

__**chapter 6 section 6 (6.6) by: GIBBLE**__ main idea: solving absolute value inequalities
 * __Absolute value inequlities__**

problem #1:

lxl >_ 6 (absolute value of x is greater than or equal to 6)

solution for problem #1:

x=6 or x = -6

problem #2:

lx - 5l >_ 7 (the absolute value of x minus 5 is greater than or equal to 7) / x - 5 <_ -7 or x - 5 >_ 7

x <_ -2 (x is less than or equal to negative 2) or x >_ 12 (x is greater than or equal to 12)

solution for problem #2:

x <_ -2 (x is less than or equal to negative 2) or x >_ 12 (x is greater than or equal to 12)