SOLUTION: |4x + 2| >= 8 >= I think thats how id put greater than or equal to? I just need help on how id go about doing the problem. Where would i start and what would i do? Ive b

Algebra ->  Absolute-value -> SOLUTION: |4x + 2| >= 8 >= I think thats how id put greater than or equal to? I just need help on how id go about doing the problem. Where would i start and what would i do? Ive b      Log On


   



Question 150257: |4x + 2| >= 8
>= I think thats how id put greater than or equal to?
I just need help on how id go about doing the problem.
Where would i start and what would i do?
Ive been stuck for about 10 mins.
And keep going in circles with trying to do the problem.
Thanks,
Kerry.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%284x%2B2%29+%3E=+8
Think about absolute value problems as two separate problems.
The first is the positive solution.
The second is the negative solution.
The absolute value of x is x when x>0 and -x when x<0.
Hence the two solutions.
First let's do the positive solution.
%284x%2B2%29%3E=8
4x%3E=6
x%3E=6%2F4
x%3E=3%2F2
Next, let's do the negative solution.
-%284x%2B2%29%3E=8
-4x-2%3E=8
-4x%3E=10
x%3C=-10%2F4 Note the change in sign direction after division by negative number.
x%3C=-5%2F2
That is the solution set.
x%3C=-5%2F2 and x%3E=3%2F2