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.

1� Question your answer is right.

2� and 3� 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.

3� Question, your answer is right:

if
if

-->
-->

----------------------------->
--------------------------->

---------------------------->

Answer:

RELATED QUESTIONS
A teacher will take 10 questions from a study guide of 20 questions for a quiz. If a... (answered by oscargut)

Okay, here goes another easy one that I can't solve: Printer A can print a report in 3... (answered by amnd)

Hello, I have a couple of questions on my homework that I just cannot understand. The... (answered by richwmiller)

Using a calculator. TI-83Plus. Okay i have had a brain lapse and this is a dumb... (answered by stanbon)

Hi, I have two questions, that I think I aby all four sides so 72.and the width is... (answered by Jeef Gorrdon)

How do I properly graph this equation on algebra.com? x-4y=-8 I know that rise=2... (answered by Theo)

Find the value of s in the interval (0, pi/2) that makes the statement true. Round to... (answered by DrBeeee)

I have a couple questions I have no idea how to answer. I hope this gets to you today,... (answered by jim_thompson5910)

SOLVE: 5a-5=7a-19 I've tried solving it several times and they have the answer in the... (answered by rapaljer)