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Often, when we're working with sets in mathematics, we tend to have sets with things like numbers in them. So we'll typically see statements like this one, which is more mathematical in nature, even. Definition Empty set, denoted by φ, is a set with no elements. Definition Two sets are called disjoint if, and only if, they have no elements in common. Problems Let A = {1, 3, 5} and B = {2, 4, 6}. Are A and. Sets are a useful vocabulary in many areas of mathematics. They provide a language for stating interesting results. For example, in analysis: “a monotone function from ‘ to ‘ is continuous except, at. Example 3 Consider these three sets A = the set of all even numbers B = {2, 4, 6} C = {2, 3, 4, 6} Here B ⊂ A since every element of B is also an even number, so is an element of A. More formally, we could. It is natural for us to classify items into groups, or sets, and consider how those sets overlap with each other. We can use these sets understand relationships between groups, and to analyze survey data.
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