SOLUTION: I'm having some trouble with this interval. I came up with the answer: (-INFINITY,-8) but it comes up that -INFINITY is incorrect. Can you help me? -3x+16<-6x-8 thanks!

Algebra ->  Equations -> SOLUTION: I'm having some trouble with this interval. I came up with the answer: (-INFINITY,-8) but it comes up that -INFINITY is incorrect. Can you help me? -3x+16<-6x-8 thanks!      Log On


   

Question 196828: I'm having some trouble with this interval. I came up with the answer: (-INFINITY,-8) but it comes up that -INFINITY is incorrect. Can you help me?
-3x+16<-6x-8
thanks!
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
-3x+16<-6x-8
:
3x<-24......added 6x and subtracted 16 from both sides
:
x<-8
:
you are correct.....if answer book doesnt say - infinity...ITS wrong

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3x%2B16%3C-6x-8 Start with the given inequality.


-3x%3C-6x-8-16 Subtract 16 from both sides.


-3x%2B6x%3C-8-16 Add 6x to both sides.


3x%3C-8-16 Combine like terms on the left side.


3x%3C-24 Combine like terms on the right side.


x%3C%28-24%29%2F%283%29 Divide both sides by 3 to isolate x.


x%3C-8 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x%3C-8



So the answer in interval notation is


So you are correct.


So either they want you to enter the answer in differently (maybe they want "-inf" instead of "-infinity"??) or they have the wrong answer.