- #1

Plutonium88

- 174

- 0

## Homework Statement

Solve

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

## 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 don't 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 :(