SOLUTION: Hello...I have several questions, i have worked all of them but do not understand the answer that was given in the back of my book. Here are the questions: Solve and graph (on a n

Question 84440: Hello...I have several questions, i have worked all of them but do not understand the answer that was given in the back of my book. Here are the questions:
Solve and graph (on a number line)the absolute value inequalities:
(quotations represent absolute value signs)
1. {x +3}>5
my answer is x>2 or x<-8
2.{3x} > -9
is there a soulution since it is -9
3. {6x - 15}> -15
i got x >0 or x < 5.. the book gave the answer as all real numbers...explain please.
4. {2x - 5} - 8 less than or equal to 3
i got x less than or equal to 8 and x is greater than or equal to -3
my book shows the answer as being... {x: -8 less than or equal to x less than or equal to 3}
thank you for your time on this im just really confused about the answers
Answer by albert(7) (Show Source):
You can put this solution on YOUR website!
Ok.

1º Question your answer is right.

2º and 3º questions and
-What you need to know is: (is always positive). --In this case for any real number x; , the same for . Example: -->.
The answer is the all real number.

3º Question, your answer is right:

if
if

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Answer: