Q5 define the sets a b c and d as follows a y z 2 y 9 and y...

Q5: Define the sets A, B, C, and D as follows: A = {y ∈ Z : 2 < y ≤ 9 and y is odd}. B = {1, 4, 6} C = {y ∈ Z : y ≤ 10 and y is even}. D = {y ∈ Z : y ≤ 7 and y is positive} E = {-3, -1, 0, 5} Mark all answers that are elements of B ∪ C. -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11

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Transcript

00:01 In this question, we're given five sets here, a, b, c, d, e, and these are their corresponding elements within the set.

00:09 Now, we want to find b union c.

00:12 Union means to take everything in both sets, combine them.

00:16 Now, set b is one, four, six.

00:19 Set c is actually containing elements in d who are integers and less than equals to 10 and is even.

00:30 So if we were to list it up, it will comprise of negative values as well because this is the integer sets and it comprises of negative integers, zero and positive integers.

00:50 Let's list up.

00:52 We can have zero.

00:57 Zero is even.

00:59 We can have two, four, six, 10, because it's up to 10, but in the negative direction, it will go to negative infinity, but the numbers in the negative direction are even as well.

01:18 So minus two, minus four, minus eight, so on and so forth.

01:23 So b union c would now look like, now i will combine b and c.

01:33 I do not repeat the elements already in d.

01:39 So i only need to list it once.

01:42 So it looks like four, six.

01:46 Four and six are already in both sets.

01:48 So if i were to use this to list, then i wouldn't have to list this again.

01:56 So it would just be y belong to integer set, y less than equals to 10.

02:05 Y is even...