00:01
Okay, so the problem says determine whether these statements are true or false.
00:10
So we can write true or false.
00:14
So problem a, we have written the empty set is in the set containing the empty set.
00:32
Is this true or false? well, we can clearly see that this element is in the set.
00:40
So here we can write true because it is indeed in the set.
00:46
Okay, now let's go to letter b.
00:49
We have the empty set is in the set.
00:57
And here we have the empty set, a set containing the empty set.
01:07
Okay, so is the empty set within this set? well, as we saw, or as we can see here, again, the empty set is indeed an element within this bigger set.
01:22
So yes, this is also true.
01:26
Now we have letter c.
01:30
The set containing the empty set is in the set containing the empty set.
01:48
Is this true or false? well, we have here a set containing the empty set.
01:57
And we have on the right a set containing the empty set.
02:00
But we don't have an element within this set that has a set containing the empty set.
02:10
In other words, really, the list should be like this.
02:15
We should have within this bigger set an element here that is exactly the same as here.
02:25
As you can see here, a set containing the empty set is indeed within this green set.
02:35
However, that's not the case for our given problem here.
02:38
So we can say here that the response is false.
02:46
Okay, now we have d, which is saying the set containing the empty set is in the set containing a set containing the empty set.
03:09
Okay, let's see if i wrote that down correctly.
03:11
D, a set containing the empty set is in a set containing a set containing the empty set.
03:21
So this is true.
03:24
We can see here it's marked as an element.
03:28
Or it is an element within this bigger set on the right...