Algebra of sets
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The document discusses the basic operations of algebra of sets: union, intersection, difference, complement set, disjoint sets, and power set. It provides examples to illustrate each operation, such as the union of sets A and B containing all elements that belong to A, B, or both; the intersection of sets A and B containing only the element s that is common to both sets; and the power set of a set U being the set of all subsets of U.
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How To Write Set Notation for set properties such as:
Union - Elements in Set A or Set B
Intersection - Elements in Set A and Set B
Cardinality - the count of elements within the set
Elements - Items within set. Can be numeric or objects
Empty Set - The set of nothing
Such That - Defining which elements belong to a set
Universal Set - The set of all possible values
Complement - Everything not in the set in the Universal Set
Subset - A subset is a set of elements which are all an element of another set
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The answer for:
1)Give me a group of girls whose height is > than 156 cm is E,F,G.
2) The answers for Piano and Guitar question is:
n(U) =8,
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Algebra of sets
- 1. ALGEBRA OF SETS Jose Mendoza 9-II Algebra II Mr. Eladio
- 2. Basic operations Union Intersection Difference Complement Set Disjoint Sets Power Set
- 3. Union Are all the sing inside the sets you are uniting. For example; The union of sets A and B is the set of all elements which belong to A, to B or to both.
- 4. Intersection Are the sing which are in common with other set or sets. For example; A={a, s, d} b={s, f, I } Intersection={s}
- 5. Difference Is when in a set you have and element but this element you don’t have it in the other set. For example; The difference of sets A and B is the set of elements which belong to A, but do not belong to B.
- 6. Complement Set All the elements of the universal set.
- 7. Disjoint Sets When sets have no elements in common.
- 8. Power Set Let U be any non empty set and let P(U) denote the set of all subsets of U. Set P(U) is called the power set of the set U . Elements of the set P(U) are subsets of the set U.