SOLUTION: Solve each inequality and express the solution set using interval notation. -3(3x+2)-2(4x+1) is greater or equal to 0. I have done my math twice and my answer keeps coming up

Algebra ->  Graphs -> SOLUTION: Solve each inequality and express the solution set using interval notation. -3(3x+2)-2(4x+1) is greater or equal to 0. I have done my math twice and my answer keeps coming up      Log On


   

Question 876741: Solve each inequality and express the solution set using interval notation.
-3(3x+2)-2(4x+1) is greater or equal to 0.
I have done my math twice and my answer keeps coming up to: [x greater or equal to 0), however the answer in my book says (-x, -8/17].
Here is my work:
-9x-6-8x-2 is greater or equal to 0.
-6+x-2 is greater or equal to 0.
-4+x is greater or equal to 0.
[x is greater or equal to 4).
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
-9x-8x is -17x, not +x. Also -6-2 is -8.

-6-17x-2 >= 0
-0
-8 >= 17x

x <= -8/17

PS: the answer you wrote, (-x, -8/17] is confusing notation since it is normally interpreted as the set of real numbers greater than -x, and less than or equal to -8/17.