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 Amsco Integrated Algebra I: Operations With Sets
This is a free lesson from our course in Amsco's Integrated Algebra
This lesson explains concept of universal set and operations with sets like you have learnt in arithmetic and in geometry. Set is the collection of distinct objects or elements. E.g. A= {0, 1, 2, 3...} is the set of whole numbers. The universal set, also called the universe, is the set of all elements under consideration in a given situation, usually denoted by the letter U. Three operations with sets are called intersection, union, and complement. Intersection of sets A & B is the set of all elements that belong to both A & B and is denoted as A∩B. E.g. say A = { 1, 2, 3, 4 } and B = { 2, 3, 4, 5, 6, 7 }, then A∩B = { 2, 3, 4 }. The union of two sets, A and B, denoted by A U B, is the set of all elements that belong to set A or to set B, or to both set A and set B. (More text below video...)
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(Continued from above) E.g. say A = { 2, 5, 6, 7 } and B = { 5, 7, 9, 10 }, then A U B = { 2, 5, 6, 7, 9, 10 }. The complement of a set A, denoted by A', is the set of all elements that belong to the universe U but do not belong to set A. Therefore, before we can determine the complement of A, we must know U. E.g. say U = { 1, 2, 3, 4, . . . } and A = { 1, 3, 5, 7, . . . }, then A'= { 2, 4, 6, 8, . . . } .

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