00:02
So the problem has three questions, and we're going to look at each of those questions one by one.
00:10
So the problem starts by giving us two sets, z and y, and they are defined in this way.
00:19
Z is the set containing the number 0 and 1, and y is the set containing the number 0, 1 and 2.
00:27
And they give us a relation that is defined as x comma y, the topple x comma y or the point x comma y is a member of the relation if the sum of x and y divided by two is an integer.
00:46
Okay, so we can begin by looking at the cross product of x and y.
00:53
We can exhaust all the elements of this set actually.
00:58
There should be six of them.
01:00
And it should be, basically, you've computed in this way.
01:03
It would be 0 ,0, 01, and 02.
01:06
Those would be the first 3 .00, 01, 02, and then 1 -1 -1 -1 -2.
01:24
1 -1 -1 -2.
01:36
Now, we are asked to determine, out of these six points, which ones actually belong to this relation? so we go one by one and we look at the first one.
01:51
0 plus 0 divided by 2 is 0, which is an integer.
01:55
So we know that this element is a member of the relation...