SOLUTION: Hello, I need help with this Algebra problem please. |9x|-3>6 What I know so far: First you add 3 to each side; then you have: |9x|>6 Then you divide each side by 9 The

Algebra ->  Absolute-value -> SOLUTION: Hello, I need help with this Algebra problem please. |9x|-3>6 What I know so far: First you add 3 to each side; then you have: |9x|>6 Then you divide each side by 9 The      Log On


   

Question 147065: Hello,
I need help with this Algebra problem please.
|9x|-3>6
What I know so far:
First you add 3 to each side; then you have: |9x|>6
Then you divide each side by 9
Then I get confused .
Then the answer choices are
A) x>1 or <-(1/3)
B) x<-1 or x>1
C) x<1 and x<-1
Can you please explain the answer too.
Thankyou,
Alexia

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start here.
abs%289x%29-3%3E6
abs%289x%29-3%2B3%3E6%2B3...You forgot to add 3 to the right side.
abs%289x%29%3E9
For absolute value problems, you actually have two problems to solve.
Whenever you have the absolute value symbol, you should break the problem into two separate problems.
The first is the positive value of the argument, the term inside the absolute value lines.
1.9x%3E9
The second is the negative value of the argument.
2.-9x%3E9
Then solve each of these to get your answer.
1. 9x%3E9...Divide both sides by 9.
1.x%3E1
2. -9x%3E9...Divide both sides by -9.
2.x%3C-1 ...Remember to flip signs of inequality because of the division by a negative number.
The solution is B.