00:00Given that the absolute value of x equals -x and the absolute value of y is greater than y, which of the following is definitely false?
00:08Now we have five options, we'll examine each one individually, but before we get to that, what did our friends say to us?
00:13It says absolute value x equals minus x.
00:15If it's negative on the outside, what's inside, what's inside the absolute value?
00:19It wasn't negative, so why would it come out with a minus sign?
00:22In this case, our x is less than or equal to zero, generally speaking.
00:28Based on this information, even if you take x as zero, this part would not be wrong.
00:32Minus zero still means zero, folks.
00:34It is zero maturity.
00:35Anyway, after moving on to this point, it says that the absolute value of y is greater than y, right guys?
00:41If an absolute value expression is greater than itself, what is that, folks?
00:45In this case too, our y is less than zero, folks.
00:51y is less than zero.
00:52Because if it says less than or equal to zero, zero cannot be greater than zero.
00:56If it had said equals, we would have included less than or equals here as well.
01:01Please let's be aware of these things.
01:03Anyway, when we get to this point, it means our x is less than or equal to zero.
01:08Our 'y' is smaller than zero, friends.
01:11Now, regarding our question, it states that x plus y is less than zero.
01:17Is it wrong? Or is it right?
01:18Let's see.
01:19Isn't our x less than or equal to zero, friends? It's determined here.
01:22Our 'y' was less than zero.
01:24We were able to add the inequalities side by side, weren't we, guys?
01:28Especially when the direction of our inequalities is the same.
01:31In this case, x plus y is less than zero, folks.
01:36In this case, if x plus y is less than zero, then this is definitely true, folks.
01:40After passing this point, our x minus y stopped being greater than zero.
01:44Now, guys, things get a little complicated here.
01:45How complicated?
01:47Let's do this.
01:48Our x was less than or equal to zero.
01:51And why did I say minus y?
01:54There's a minus 'y' here, right? That's what's being asked of us.
01:57If our y is less than zero, then when we multiply negative y by negative, to interpret this, negative y is greater than zero.
02:04Okay guys, when I look here, can I write it as x plus minus y?
02:11I write that a times minus minus gives x minus y.
02:14It grew from nothing.
02:16So, now's the time, friends.
02:21That's what was given.
02:23I'm going to get -3 here now.
02:25I'll get a minus 3.
02:27And one more thing I want to say, what should this place be like, guys?
02:31Of course, let's make it 5, right guys?
02:36Why 5?
02:38Actually, it got minus 5.
02:40But because I multiplied by a negative number, it became +5 here.
02:43Did I explain it clearly?
02:45So what's going on here, guys?
02:47Because our negative y is greater than zero.
02:49Considering these circumstances, here's the situation, folks.
02:52What does 5, 3, minus 3 make, guys?
02:55That makes 2.
02:55So this could also be number 2.
02:57Or let's take another example.
02:59Our x is less than zero.
03:00The numerical value should be greater than this.
03:02Let it be greater than Y.
03:03In this case, I'm giving you a -5 rating, guys.
03:06Let me do it this way too.
03:08What else should I bring here, friends?
03:10I'll only get 3, right?
03:12Yes.
03:13In this case, when I received it, it was minus 2.
03:15So, this is what I'm trying to say, guys.
03:17This total, or rather this difference, is equal to each other, folks.
03:21It could be 2, or it could be minus 2, depending on the position of these numbers.
03:25So we can't say for sure whether it's definitely wrong or definitely right.
03:28To its positivity or negativity.
03:30So I'm skipping this.
03:31He wants certainty from me.
03:32When it comes to x divided by y, folks, it's simple.
03:35How are these guys?
03:36x was less than or equal to 0.
03:38And what were friends, at the same time?
03:40Our 'y' was also lowercase, it was 0.
03:43If our x is equal to 0, if x equals 0, if y is less than 0, what happens?
03:51x divided by y is 0 divided by the number 0, folks.
03:56But I said that if x is less than 0 and y is less than 0, it includes both cases.
04:01Or, that's what it meant, right guys?
04:03Both could be true.
04:05What's going on here, guys?
04:07Our x divided by y.
04:08x is negative, y is also negative.
04:10In this case, minus divided by minus is greater than 0, folks.
04:14So it becomes an additional expression.
04:16So, friends, this might be true.
04:18That's wrong, but I'll skip that part too.
04:19He wanted certainty.
04:20x times y is essentially the same as this, folks.
04:23He said x is also greater than x.
04:24So x is also a correct answer.
04:26Even from here, you can pull off a clever trick.
04:28When we get to x times y, I say it's greater than 0.
04:31Now, this is a multiplication situation, folks.
04:33x was less than or equal to 0.
04:35Our 'y' was also lowercase, it was 0.
04:37What happens if we collide side by side, guys?
04:40What do we get x times y?
04:43It becomes greater than or equal to 0.
04:46Is this true?
04:48It contains the truth.
04:49Because it is greater than or equal to 0.
04:52Because it says big 0.
04:53We can consider this to be true as well.
04:55When it comes to the Edirne option, friends.
04:57y divided by x is less than -1.
04:59This has already been revealed to them.
05:00All three-pointers look alike.
05:02Friends, y divided by x.
05:03Now, isn't our 'y' a negative symbol?
05:07With a fez.
05:07Yes.
05:08Our x is negative or 0.
05:12Right, guys?
05:14We know that too.
05:15Our x is y divided by x, if it's negative divided by negative, then it's one time.
05:19It's big, so what, guys?
05:21It will be from scratch.
05:23Things get really complicated if we also use "or".
05:26Why?
05:26Y divided by x is undefined if x equals 0.
05:32In this case, our answer is definitely wrong.
05:35It is Edirne.
05:36In both cases, it turns out to be wrong.
05:38In this case, our answer is option E.
05:40Thank you for watching.
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