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- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,719

x<-5 or 8<x

not sure how you introduce the absolute value in this to solve it.

thanks ahead

- Thread starter karush
- Start date

- Thread starter
- #1

- Jan 31, 2012

- 2,719

x<-5 or 8<x

not sure how you introduce the absolute value in this to solve it.

thanks ahead

- Feb 1, 2012

- 57

Have a look at this site, very helpful.

http://www.sosmath.com/algebra/inequalities/ineq03/ineq03.html

Hello, karush!

"Write as one inequality with an absolute value: .x < -5 .or .8 < x."

Code:

```
: - - 13/2 - - : - - 13/2 - - :
======o--------------*--------------o======
-5 3/2 8
```

All the points satisfying the inequality are

Therefore: .|x - 3/2|. > . 13/2

- Thread starter
- #4

- Jan 31, 2012

- 2,719

yes thats makes sense that the book answer also

To follow up on this topic, consider this problem.

Write as one inequality with an absolute value: .$1\, <\,x\,<\,9$

Note that the midpoint of the interval is 5.

Code:

```
: - - 4 - - : - - 4 - - :
----o===========*===========o----
1 5 9
```

Therefore: .$|x - 5| \:<\:4$