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Homework Statement
A = {a,b,c} ; B U C = {c,d,e,f} ; (A∩B) U (C∩A) = ?
Homework Equations
The Attempt at a Solution
A U B U C = {a,b,c,d,e,f}
A ∩ {B U C } = {c}
My answer: {c}
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A basic set is a fundamental collection of objects or elements that share a common characteristic or property. These elements can be numbers, shapes, colors, or any other defined criteria.
A basic set is a subset of a universal set, which is a larger set that contains all possible elements. A basic set only contains a specific group of elements that meet a certain criteria, while a universal set encompasses all possible elements.
Basic sets are useful in mathematics for categorizing and organizing data or information. They also serve as building blocks for more complex mathematical concepts and theories.
Yes, a basic set can be empty if there are no elements that meet the defined criteria. For example, the set of even numbers between 1 and 3 would be an empty basic set.
A basic set is a subset of a larger set, while a proper set is a subset that does not contain all elements of the larger set. In other words, a proper set is a basic set that is not equal to the universal set it belongs to.