Thread: Absolute Values

I am curious how to proceed with this problem:



I know I must remove the Absolute value, but how?

Thanks in advance.

Originally Posted by Zinefer

I am curious how to proceed with this problem:



I know I must remove the Absolute value, but how?

Thanks in advance.

Hello Zinefer,



Remember this: means . So,



How's that for a start?

Would that be the answer?

Again, thanks for your time.

Not exactly, go bact to this step:




You will want to solve for x.

Multiply each term by 28 to remove the fractions. Then subtract 7 from both sides and the middle.

Code:

 
-21 < 20x + 7 < 21
 -7       - 7   -7
---------------------
-28 < 20x     < 14

Now, divide each term by 20, reduce your fractions, and you will find the range of x.

Thanks alot. The answer is:

Originally Posted by Zinefer

Thanks alot. The answer is:

Correct

Originally Posted by Zinefer

Actually x is the set of points in the interval .

The solution set could also be written