00:02
This question comes in two parts.
00:04
In part one, we are considering three sets, a, b, c, for which we want to draw event diagram corresponding to each of the following subsets.
00:16
So in question a, we want to find the intersection of a minus b with a minus c.
00:25
So a minus b, this subset, corresponds to.
00:30
Set a, where we remove the element in b.
00:33
So this circle here corresponds to set a, and this circle here corresponds to set b.
00:40
So a minus b will correspond to this lunar shape here, which is set a, where we have removed parts of set b.
00:55
Next, let's trace out a minus c.
00:58
So this is similar to find.
01:00
This is set a minus the elements in set c.
01:05
So we will find this shape right here.
01:17
The intersection of these two sets will correspond to the subset that are in common to both of the red subset and the blue subset.
01:28
And i'll shade that region in green, that will correspond to this region right here.
01:46
This region in green corresponds to a minus b intersected with a minus c.
01:56
Next question.
01:58
We want to find the complement of b.
02:01
A, excuse me, the complement of a, union b minus c.
02:07
Complement to a corresponds to all the elements that are not in a.
02:13
So if this circle here corresponds to a, the complement of a will correspond to everything out of this circle.
02:24
And that is confined with this box here.
02:40
Next, the set b minus c corresponds to this set b here, where we remove the element in c.
02:51
So it's going to correspond to this lunar shape right here.
02:59
Now, the union of the complemented a with b minus c will correspond to all of the parts in red with all the parts in blue...