00:01
So in this problem we are asked to draw some fan diagrams and shade the correct regions of those diagrams.
00:14
So before we solve the problem, it is stated that we have a universal set.
00:23
E and e equals to the whole numbers less than 20, which is 0, 1 ,000, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fourteen, fifteen, sixteen, seventeen, seventeen, seventeen, eighteen, nineteen, and because it is only say less than twenty, not less than equal to twenty, we do not have to include twenty.
00:57
And next we have a, which is squares less than 20.
01:08
So is 0, 1, 4, 9, 16.
01:20
Because 0 squared is 0, 1 squared is 1, 2 squared is 4, 3 squared is 9, and last 4 squared is 16.
01:31
And next we have b, which is even numbers less than 20.
01:41
So b is 0, 2, 4, 6, 8, 10, 12, 14, 16, 18.
01:51
And don't forget to include 0 because 0 is considered an even number.
01:57
So now we have our c, which is odd score.
02:03
Squares less than 20.
02:10
Oh sorry we i don't have to include one and nine because a is oh a was squares less than 20 and c is odd squares so c is only one and nine so now we have our set here e, a, b, c, and now we can solve the question.
02:58
So the first question a is we are asked to draw a and c on a venn diagram and place the numbers in the correct regions.
03:09
So here we have, let's say this is our u, the universal set, and this is our a and this is b, sorry, c.
03:30
So a is 014916 let me write it here and c is 1 9 9 so as you can see here in the picture this is the intersection so a intersection c is 1 and 9 because both of the set so both of set a and set c has 1 and 9.
04:12
So this part here, the intersection part here will be 1 and 9.
04:17
And then, a is 0 -1496.
04:23
So this is the intersection here.
04:26
So the left 1 is only 0, 4 and 16.
04:32
And for c, c only have 1 in 9, so that's it we don't have to do anything.
04:38
So for the next question, b, we are asked to draw b and c.
04:49
So let's say this is our u and this is our b and c.
05:01
So what was b? so b was 0, 2, 12, 14, 16 and 18...