(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve

|3x-7|-|x-8|>4

3. The attempt at a solution

so i made columns... and using the columns i made a number line..

7/3 on the left as a point, with a column on its left, and 8 with a column on its right and sharing a coumn in the middle with 7/3

so i have..

|3x-7| => (3x-7), X>OREQUAL 7/3

-(3x-7) x<7/3

|x-8| => (x-8) x>or equal 8

-(x-8) x< 8

* i algebraeicly solved 3 different inequalities after this

1. -(3x-7)-[-(x-8)]>4 (this was not crossed out)-- the answer was crossed x<-2

2. -(3x-7) - (x-8)>4 (this WAS CROSSED OUT)

3. (3x-7) - (x-8) >4 (this was not crossed out) - the answered was crossed x>2/3

i understand i am supposed to compare the three inequalities after to get the answer, but i dont understand the thinking of how to go about the questoin in terms of CREATING the THREE inequalities..

So how exactly do i... evaluate the different possibilites can some one give me something to run with or think about, so i can solve this :(

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Soling an inequality using Algebraic method

**Physics Forums | Science Articles, Homework Help, Discussion**