00:00Okay folks, now our topic is two limited ranges.
00:03How will we do it within two limited intervals?
00:05Let's take a look at it right away.
00:06In other words, let's see what the absolute value relationship between two limited intervals will be.
00:11Here they are, with equal lengths.
00:19Consisting of two different intervals.
00:26Consisting of different ranges.
00:30So what are these, folks?
00:32Let's give an example right away.
00:34B1, B2.
00:35This is the index of twos, folks.
00:37The 'B's show that they are different.
00:39We call the B1, B2 closed interval connection, arkadaşlar.
00:42What is B3?
00:44B4 closed range.
00:46These closed intervals.
00:52Closed gaps.
00:55To an absolute value inequality.
00:57We will convert this to an absolute value inequality as follows.
01:10Let's say we translate it like this.
01:16First of all, friends.
01:18I want to show it on a number line right away.
01:21The actual numbers are as follows.
01:23Right, guys?
01:24How should it be?
01:25Let's call this C1.
01:27Excuse me, B1.
01:28What should this place be, guys?
01:30B2.
01:32Let's call this place B3.
01:35Let this be B4.
01:37Now, friends, we have a central point here.
01:41This happens all the time.
01:42Central point.
01:43And because the center point is exactly midway between B2 and B3.
01:47The intervals here will be A units away from A.
01:52Between B2 and B3.
01:53What were these anyway?
01:54The lengths of the two intervals were equal.
01:57So, what will happen to this area, friends, that is, the area between B1 and the center?
02:04C must be at a distance from C1 such that they are equal to each other.
02:11Okay guys, I want to write down our range.
02:19Our range is B1 less than or equal to.
02:23X is less than or equal to.
02:25B2.
02:27I'm talking about a merger, folks.
02:29B3 is less than or equal to.
02:32X is less than or equal to.
02:33B4.
02:34So, is this our range?
02:37Let's look at the midpoint of our range.
02:40That is, at our central point.
02:42The midpoint of the interval.
02:49The midpoint of our group was the center, friends.
02:53We did this before, guys.
02:55What was our central point here?
02:59B1 plus B4 divided by 2.
03:05It's also equal to that.
03:07B2 plus B3 divided by 2.
03:11Yes.
03:13This is how we find our central point, folks.
03:21Let's look at the distance between the midpoints of the midpoints of the midpoints of our interval.
03:43Guys, this is how it happens.
03:44Guys, this is how it happens.
03:45What is the midpoint between the inner endpoints of the range, guys?
03:49Of course, A.
03:50Our A is equal to...
03:53B3-B2 divided by 2.
03:59This is how we found this place.
04:02Next, my friends and I are looking at the outermost points of the range.
04:09Let's look at the distance of the outermost points from the midpoint.
04:32What is that, guys?
04:34Of course, it's our C.
04:36The distance C is the length of the interval from the inner endpoint to the midpoint.
04:41It's also equal to that.
04:41How do we find it, guys?
04:42B4-B1 divided by 2.
04:48Yes.
04:50After doing that, we write our absolute value inequality as follows.
05:01There's something I'll explain after I write this.
05:08That's our absolute value inequality, folks.
05:10A is less than or equal to.
05:15Look, A is less than or equal to.
05:17The distance M between X and X is...
05:21Less than or equal to.
05:22Why?
05:24C.
05:26This is the absolute value we obtained, friends.
05:30Having written it this way, I would like to add the following point.
05:34This is the absolute value inequality that was obtained.
05:45This is an inequality of absolute value.
05:50What's up, guys?
05:52The distance to point M.
05:56This is how it's pronounced.
05:58The distance to point M.
06:04A and C are closed.
06:14A and C are closed.
06:22points.
06:25To its cluster.
06:30Opposite.
06:33Income.
06:34We say.
06:35This is how the absolute value relationship between two limited intervals works, folks.
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