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Amsco Integrated Algebra I: Operations With Sets |
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This is a free lesson from our course in Amsco's Integrated Algebra
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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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