00:01
So for this problem, i'm first going to note here that just by numerate policy, i'm only supposed to do one question at a time.
00:09
So i'm going to be first just looking at the first question.
00:13
It seems to be question 2 .2, the venn diagram one.
00:16
If it's the second problem that you need more help with, then i would suggest re -uploading that separately.
00:23
So we're told that we have u, it's the set of x such that x is a counting number less than 10.
00:33
Counting less than 10.
00:40
We have that a is x such that x is prime.
00:48
Oops, prime less than 10.
00:55
And b, is x such that x is a positive divisor of 8.
01:14
So, first of all, for you, we can figure out the elements directly pretty easily.
01:22
Counting numbers less than 10 would be 1, 2, 3, 4, 5, 6, 7, 8, and 9.
01:33
Simple enough.
01:35
So we can see that the cardinality of u is equal to 1, 2, 3, 4, 5, 6, 7, 8, 9.
01:46
For a, the prime numbers less than 10.
01:51
We have the first few prime numbers would be 2, 3, 5, 7, and then the next prime number would be 11.
02:04
So, we have, those are our prime numbers, and the cardinality of a is clearly equal to 4.
02:12
There are four elements.
02:14
And then for b, the positive divisors of 8 would simply be 1, 2, 4, 4.
02:23
4 and 8.
02:26
So we can see that the cardinality of b is also equal to 4.
02:31
Now moving along, let's see here.
02:37
Okay, so now we're looking for a union, let's see here, from the elements in each set and the cardinality.
02:45
So a union with b would simply be 1, 2, 3, 4, 5, no 6.
02:56
We skip six.
02:58
We have seven and eight.
03:00
So we have the cardinality...