00:01
Hi student in this question we are given three different sets set a, set b and set u.
00:06
Set u is the universal set means it contains all the possible elements that would be included in its subsets.
00:15
It will be the largest set, largest set containing maximum number of elements in this context.
00:22
We have to find the list of elements contained in the indicated sets and the first subpart of this question is to find the number of elements or list the elements contained in the set b dash or b prime.
00:38
B dash means the set containing all the elements other than that in the b.
00:47
That means u difference b.
00:50
This symbol is in order by difference that is the elements contained in u other than b, other than the elements of b.
01:00
Since b contains 1 3 and 7 we have to remove those 3 elements from universal set remove 1 3 and 7 remaining elements will be included in b dash 2 4 5 6 8 9 will give the set of b dash now we have to find the second part a dash union b dash so for that a dash union b dash means the combination of two sets a -dash and b -dash.
01:35
So for that we have to separately find a -dash and b -dash first.
01:39
A -dash is u -difference a.
01:42
That means all the elements in universal set other than the elements in a.
01:47
So we have to see the universal set.
01:51
1 -3579 are in a.
01:55
So the elements other than 1 -3 -5 -7 -9.
02:01
5, 7, 9 are cut.
02:04
So the remaining would be u difference a.
02:08
That is set 2, 4, 6, 8.
02:15
All right.
02:16
B dash is already obtained.
02:18
It's here and the a dash now we have.
02:20
Now we have to combine this to get a dash, union b dash.
02:26
Union means the combination of both these sets.
02:29
The common elements should not be repeated again.
02:31
It can be written only once.
02:34
2 is in both of them we can write 2.
02:37
4 is in both of them we can write 4.
02:39
5 is there in b -dash, 6 is there in both, 8 is there in both, and 9 is there in b -dash...