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 ∪ ∅

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 the empty set and we want to indicate whether or not those two are dis joint sets. So in this case let's go ahead and break down while all these symbols mean. So first of all this U. Stands for a union. And when we have a union between two sets, we care about the values in the first set. In this case set the values in the second set, which is the empty set or the values in both. So that's the symbol for union. And the second symbol means the empty set. And recall that an empty set contains no elements. So if we look at set A. Which is given to us here, you can see that set A. Has elements. So because the empty set has no elements, that means that there's no shared values among the two sets. And because there are no shared values, this means that A. And the empty set are destroyed sets. But we still need to find what a union with the empty set means. So even if the empty set has no values, we still need to include the values that are in set a. Which in this case are 36, 40 42 and 44. So when we do a union with the empty set, we get that list of values. So now we've solved the problem here and found that A. And the empty set, our dis joint sets. And you can see that that aligns with answer choice C. Not to be confused with a. Because a. is missing 42, so C. Is our final answer, and hopefully this video helped see you next time.

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 ∪ ∅

Key Concepts

Set Theory

Union of Sets

Disjoint Sets

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