anonymous
  • anonymous
Express the interval (−2, 6) in terms of an inequality involving absolute value. (Use the variable x to describe the interval.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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tkhunny
  • tkhunny
Find the center of the interval.
anonymous
  • anonymous
i have no idea how to do this
tkhunny
  • tkhunny
Did you do what I said?

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More answers

anonymous
  • anonymous
whats the center 4?
tkhunny
  • tkhunny
Why would that be the center? It's not +2, it's -2. You MUST pay better attention.
anonymous
  • anonymous
-2+6=4?
anonymous
  • anonymous
-2-6 = -8
tkhunny
  • tkhunny
That's the sum. That's not the average or center of two values.
tkhunny
  • tkhunny
Find the center of the interval. You can just walk ir off if you like. -2 6 One step each way -1 5 0 4 1 3 2 2 <== There it is!
DebbieG
  • DebbieG
|dw:1378515389506:dw|
anonymous
  • anonymous
how will i express that with absolute value?
tkhunny
  • tkhunny
How far is the center from the two endpoints?
anonymous
  • anonymous
(0,4)?
tkhunny
  • tkhunny
Why would it be an interval? We need an absolute distance. How far is 2 from 6? How far is 2 from -2?
anonymous
  • anonymous
4 and 2
tkhunny
  • tkhunny
The difficulty with what I am dragging you through is that we are BUILDING the solution. You cannot see the end from where we are. I hope to show you a PROCESS, not an answer. Where is the center of the interval? (6 - (-2))/2 = 2 How far is each endpoint from the center? 6-2 = 4 and -2 - (-2) = 4 This is how absolute values work. It is sometimes called "magnitude" or "absolute distance" or "norm" and maybe a few other things. In any case, it is a positive number referring to how far apart things are. Our task here is the describe the set of all numbers that are less than 4 from 2. How do we do that?
anonymous
  • anonymous
2
tkhunny
  • tkhunny
You're just guessing and you failed to use an absolute value. 4 is the ONLY distance that matters. 2 is the ONLY center of the interval that matters. Give it another go. Hint: It will have only one inequality.
anonymous
  • anonymous
|x|+2<4
tkhunny
  • tkhunny
Now THAT was a good effort. |x-2| < 4 Read this, everything that is less than 4 away from 2.
anonymous
  • anonymous
Thanks alot for the help.. I really appreciate it!

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