Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2...

Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8},
N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (N ∪ R) ∩ M

Accepted Answer

Hello. Everyone in this video. We're going to be looking at this practice problem where we want to find set A union with set de intersected with set C. And we want to indicate if there's any dis joint sets. So I'm going to go ahead and rewrite what they're asking for A union with D. Intersection with C. And I'm going to sort of write the word representation of the symbols. So I don't confuse myself. So first this you means a union and that means that I want the values in set A. And set B. Set D. Or in both. And the second symbol sort of upside down U. Is an intersection which means that I want the values Shared between the two sets. So I only want the values that are shared between the sets, not all the values in each of the sets. And I'm going to go ahead and start by solving this first parentheses where I want a union with D. Which means I need to write down all the values in A. And all the values in set D. So if I write all the values in set A. I have 34 38 and 42. And I want to also include the values in set D. I'll sort of rearrange this so I can also fit the values in C. D. And you can see we have A C. D. So the values in set d. r. 34 41 and 45. So now I've written all the values in set A. And set D. But you can see that I have some repeats because there are shared values in set A. And set D. So there's both there's 34 in both set A. And set D. There's a. 38 in both set A. And set D. So I'm going to make sure to erase that from my set of values over here because I don't want repeats. So if I erase that, I have my new set of values Without the repeats. So I'll have 34, 38, 40 42, 41 44 and 45. So now I've solved That first parentheses. And I know that set a. And set E. R. not dis joint because they have shared values of 34 and 38. And now I need to worry about the intersection between this new set that I've just formed and set. See so if we look at set see we need to look for shared values. So There's a 44 in set c. And there's a 44 in my new set. There's 45 in set c. And there's a 45 in my new set And there's a 46 47 and 48 in set C. But none of those values are present in my new set. So the only shared values are 44 and 45. And because the intersection cares only about the shared values. A union with de intersected with C. is equal to 44 and 45. And because I was able to find shared values between set a union with D. And set C. I know that those are not dis joint, so I actually don't have any dis joint sets, and 44 45 are my final values. And you can see that that aligns with answer choice B. So hopefully this video helped and see you next time.

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Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (N ∪ R) ∩ M